Correct. Even a public school like Berkeley isn’t obliged to lend charlatans, cranks, and jokers the dignity of speaking in its lecture halls, any more than it’s obliged to allow any of them to act as classroom instructors or offer admission to any student regardless of ability.
An institution, just like a hosting provider, is allowed to have standards in who it allows to use its platform – more so in the case of serious universities, since the speaker in those cases are often seeking to bask in the the glow of the institution’s legitimacy and reputation (one gained by not allowing just anyone to speak on its platform).
Unsponsored randos are always welcome to show up with their soapboxes in Sproul Plaza, but when they’re sponsored by a student group or if they want to use interior spaces they’re subject to Berkeley’s rules (one of which should be: if your speaker sparks a riot, your group agrees to pay for the security costs).