A few more tidbits from Terry Matalas' twitter feed, in re: the Enterprise(s) of Picard (I'll embed the URL in a spoiler tag just in case):
https://twitter.com/TerryMatalas/status/1604985230963617792
A bit down the thread someone commented "So, the F has been in service since a bit before Picard S3?", to which Matalas replied "Oh yes!". In another reply, he confirms the F was already in service by the time of Pic S1. In a different thread, he noted that we would NOT see the Ent-E, but the Sovereign class will make an appearance. So, this deepens the mystery of what happened to the E....
we know Worf took over as Captain after Picard went sailing off to rescue Romulans