With a fair amount of focus having been given recently to increase efficiency of application launching, I thought I'd make another suggestion in this direction. I hate to add another item to the to-do list at a time when (it feels like) the developers must be scrambling to get ready for the stable release of 6.4, but FWIW...
I highly suspect that the vast majority of the Logos user base does most of their work on one specific machine. That is NOT to say that they own only one, but that they have a "primary" installation of Logos. I would therefore recommend adding the ABILITY (nobody panic, please!😝) to eliminate this window:

Whenever I've been working on my primary machine the most recently, and startup on that (primary) machine, I know that there are no new documents or settings that are crucial to my immediate workflow. I almost always click on "skip" in order to get started a little sooner, with the knowledge that synchronization continues in the background.
My proposition is simply to add a setting (in program settings) to turn "skip" on as a default.