Oh I don't pay attention to press conferences, I'm not a fan of media bloviators and pressers have proven themselves to be a complete waste of my time (both in politics and sports). If something important happens, I'll find out about it.
There have been accusations about rigging who gets called on at least as far back as W Bush. They accused Obama of it, Trump, etc. It strikes me as totally unimportant. I really don't need their questions or the answers to the questions so I couldn't care less.
Regarding "allowed to take questions" he could just be referring to staying on a busy schedule for the day.
Honestly the only good press conference I'm aware of over the last few years was Helsinki in 2018 when it was Trump and Putin and they took 2 questions (if I remember correctly) and Jonathan Lemiere completely exposed Trump. Someone else got Putin to say he wanted Trump to win which at the time the Republicans were lying about and saying Pooty wanted Hills to win.