When people want to argue that its unfair that Picard season 3 gets away with things that Discovery and other "Nu Trek" shows would get raked over the coals for, I think the primary difference is the depth of characterization where a significant chunk of the audience cares about those characters in ways that the writing for the other shows hasn't been able to establish for some. The second issue would be it's not a problem of Picard being by himself in absence of the rest of the TNG cast. The bigger problem with the Picard character from the first two seasons is that it arguably continued the trajectory of the character from the TNG films, and I'm not sure some of those choices ever really worked. Season 3 arguably tries to fix not only some of the issues with the first 2 seasons, but also some of the problems from the movies, where they tried to turn Picard into an action hero.I like Season 3 of PIC, I'm just more baffled that it features almost all of the same issues some folks complain about in other Kurtzman era shows, but those are rendered moot simply by featuring the TNG cast. Maybe those people need to be honest with themselves and admit their perceived issues didn't actually matter and the true complaint is they don't care about Picard as a character unless he's surrounded by Riker, Data et al., which is fine, TNG was an ensemble after all.
What I would argue is the TNG characters connected to the audience where when things people consider dumb happened (e.g., Borg DNA, long lost unknown family, etc.) the characterizations were able to pull the audience through that because they gave a shit what happened to these people. They cared about Riker's and Troi's relationship. They cared about Picard's connection to Jack. They cared about Data's future and for frickin' Spot.
So, yes, I think there's a significant segment of the audience which cares about the TNG characters in ways that some of the other new shows have failed in making those connections for those people, where I don't think there's a huge segment watching week-to-week because they care the same way about Michael's and Book's relationship or Jurati's personal growth. Now people can argue about why that is, whether that's due to quality of writing or biases within the audience ... or both.