I'm just wondering if Kurtzman, etc. are going to go for some kind of synergy between Discovery and Picard, that they might use the Picard series to plant the seeds for the evil Federation that I suspect the Discovery crew will face in Season 3.
I can't see them making the Federation completely bad in Picard (Section 31 is out there and Starfleet has been replete with bad admirals, and we also have the neural parasites, Changelings, and Species 8472 that could be culprits), but we might see the start of it. I don't see them wanting to handcuff the Picard series creatively, but however Discovery is going to depict the future will do that already to some extent. If the Federation is no more, or evil way in the future, that could lead to some feeling that whatever happened in the old shows or Picard's series might not matter. I don't see it that way necessarily, and when it comes to Picard, part of the interest for me will be to see the personal journey for him and the TNG, and hopefully other 24th century Trek characters, beyond Seven. Perhaps Picard's series will serve as a prequel of sorts for Discovery Season 3.
I do hope they keep things relatively vague when it comes to the Federation's future on Picard, but at the same time I don't see why CBS wouldn't push for more synergy between their series. I think it might strengthen them. Picard's series could set things up, and Discovery could explore them further.