In a word: Yes.
As in all the above to greater/lesser degrees.
While theoretically the president has authority to know about all of this, the reality is people/groups very likely obfuscate their behaviour/projects/agendas in myriad ways.
So fo any of us not closely connected to any particular story/allegation/project, the likelihood of learning anything with any veracity is highly unlikely.
I say this as someone with family in both military and aerospace who have varying clearances (fairly run-of-the-mill stuff, nothing significant), and I can tell when they avoid subjects which could expose they know something (again, nothing to do with UAP, just mundane tech, things like materials tech or current/past intel capabilities).
If they won't even talk about mundane stuff from multiple decades ago (I've looked at military records, which give hints to what they were involved with), I'm pretty sure anytime we hear supposed "secret" intel, it's likely to have been carefully orchestrated for a specific goal.