I would prefer to keep the two stores separate, given the Google activity that goes on just from opening and using App Lounge.
See this comment of mine, as an illustration.
I imagine some of the connections are “legitimately” needed to access Play apps, but why go that route if you can get F-Droid apps cleanly? I haven’t tested acquiring F-Droid apps from App Lounge, so maybe there’s less background activity in that situation…I don’t know.