Security - Does Logos watch what we do?

They definitely do track, and are quite open about it. There is an option in the settings under the Internet section to modify what telemetry is shared with Logos, with the options being

• All
• Anonymous
• None

It is not specific about what is gathered here but I certainly expect they know what parts of Logos I use, and what resources I use. Perhaps there is more detail in the advised Privacy Policy.

From my testing, even if you set it to "None", your location in resources/notes etc are still updated, so data is still transferred. You can test this by forcing a sync after changing location in a resource and then opening that resource in https://app.logos.com so presumably this setting is just applicable marketing/usage purposes, and not for the functional required data, so 'Feedback' as they describe.

If you want no data transfer at all you can set 'Use Internet' to No.

Verrrrrt Intttterrrrressstttting!

For sure!

And to add.... I think it's a very valid question to ask of any software that we use. And I have asked like questions of other software that I use.

Too many hidden agends in this world.

An honest man should have no problems being transparent, but a dishonest man will always try to hide.

I disagree. It is not just the dishonest man who should be concerned with transparency and what is being tracked online by organizations (any organization). 

My rule of thumb is simple: if you don't want anyone to know what you're thinking, keep it to yourself. If you don't want anyone to know what you're doing on your computer then use an air gapped computer. This is the ONLY way you will be 100% protected. Just because they say they will only use data a certain way in no way assures the individual that they will use it that way only. All organizations and governments are founded and run by fallen humans. This should be the first warning sign: Caution! Humans cannot be trusted.   

To add to what Logos tracks, I saw an off-handed comment awhile back about how Logos discovered titles in personal books were often of books they sold in their store and, thus, the personal books feature was eating into their profits. The only way they could know this is if their system collects a list of all the personal book titles we have imported into the software. Now, they have every right to track this because they are the authors of the software. What they do with that data is up to them as well. They chose not to let people upload their personal books to Logos servers, basically hobbling the feature. Now they could have chosen a stricter solution, i.e. any resource found on their serve could be prohibited to be imported as a personal book. E-Sword did something similar years ago to combat copyright infringement by redesigning their database.  

Where I spend 90% of my time I have no internet access at all (mostly) so it's a natural air gap. But as soon as I get back to civilization and plug back into the matrix, I'm sure everything I've done on my computer is collected and uploaded to the "powers that be." It's unavoidable unless you are going to go live in the woods and become a Luddite 2.0. In the past I've thought of keeping my laptop air-gapped and just using my phone for internet access, but what a pain that is in practice.  

As to the government and churches and recent hardships, life is relative. My life personally hasn't changed much at all since the mandates. But, I've been lucky. Plus, just because one individual's life has seen no negative turns because of decisions made by the government doesn't mean it has not become a living nightmare for other individuals. Their experiences are just as valid as everyone else's. It also doesn't mean they automatically are deceitful or criminals. It just means things are not black and white. 

But, since Logos requires a user ID and password to use their software, there is a greater likelihood that they are collecting more data on you than you actually think. But so is everyone else. Data is the new oil. If you don't like it consider land in Montana and ditch that laptop for a butter churn. If someone is worried that they might be uncovered as a Christian because they use Logos, that is the least of your worries. By the time they get to Logos servers, Christians will already be stacked and sorted. 

I am not certain but I think this may be taken out of context. They did do a review of personal books when they decided to kill the promised personal book store - something I had factored into my retirement plans for out of copyright hymnals. What they found made them decided such a story would be ill-advised because of potential copyright problems that have plagued other resource-share companies.

Whether it was taken out of context or not, it is clear the ability is there and they have used the ability to track personal book titles at least at some point in the past. This is just an example of the many things they track. It illustrates the depth at which they can track "things" and activities end users do.

The OP was concerned that the government would use Logos servers to track Christians down. I would bet all of your money that location is one of the myriad of items being tracks. Even if we turn on anonymous, I would wager that our IP addresses are still recorded (which is the same thing as a name in the modern world). Identity is voluntarily given along with address, phone, and credit card info (which really makes me question the concern since we Logos users voluntarily offer identifiable information from the jump).  

The reality is, it is simultaneously much worse than the OP is imagining but also doesn't really matter since those who would presumably do Logos users (aka Christians) harm have much more robust means of tracking individual than Logos servers. So really it doesn't matter what we do on Logos or anywhere online for that matter. Those who care about what people are doing already know what people are doing. That is simply the world we now live in.