I ran a test with my own channel on Peertube, lemmy, and my soapbox instance. I subscribed to my peertube channel with the lemmy and soapbox accounts, and then posted a message using lemmy. The message posted successfully, but did not appear on peertube or soapbox, but when I viewed the community using another lemmy account on the same lemmy instance I did see the posts. Next, I tried mentioning the peertube channel using soapbox. I knew that post would survive on that instance, but it also didn’t show up on peertube or lemmy.
My conclusion is that if you make a post on a community using lemmy, it will survive on the instance you’re on, but it will not be sent to the peertube instance and will not be federated to any other followers.