In my use case, I’ve got the bitwarden app installed on an Android and browser extensions installed everywhere.
I installed the desktop client but never used it, I find the browser extensions cleaner and if I need anything more the web vault interface is super powerful and easy to use on a desktop - even for web-unrelated tasks like word doc passwords. YMMV
Everything syncs across all devices well when you have internet connections to the bitwarden web vault.
I have no experience with P2P but there are a couple of feature requests out there requesting support for it, so I suspect it won’t work. You might want to check out self hosting to enable LAN access only - see https://help.bitwarden.com/hosting/.
Yes I would love to test this theory on all devices as well. Bc I have this application on my Android device but I’ve never gotten a chance to add it to my desktop, or any other devices to be able to tell the differences in the user friendliness or interfaces. So I would love some more feedback on what these differences would be. So get back to me when you can, explaining some if these things.