Yes, the intent is to let the public weigh in, help the committee make an informed decision as opposed to a capricious and arbitrary one. The decision is clearly arbitrary, as Pai has stated from the beginning he's going to do this, has blatantly ignored everyone, and is now on record as having insulted us. In terms of capricious, that's harder to prove. Between the EFF and the various attorneys general, this will be tied up in federal court.
The intent is to let different parties bring their concerns to the attention of the FCC. It is not a vote. Every public comment could advocate for one thing, and the FCC is perfectly in its right to do the other.
The only federal elections are for the President, Senators, and Representatives. This is not a direct democracy.
It also means due to personal whim. I don't think it was this either. Pai has reasons for his choice. Many, of course, disagree with these reasons or think they are bad reasons but they are reasons nonetheless. It wasn't an arbitrary decision.
It's "arbitrary" because Pai, on multiple occasions, indicated he will not take the comments into effect. Even after the reports of the faked comments, the calls to delay the vote by some senators, the faked DDoS attack, he still went through with it. There's also allegation he violated the FCC's process. He was determined to ram this through no matter what. That's arbitrary.
No, that just means it's not a democracy. One can listen to a bunch of comments, disagree with them, and choose to do the opposite of what they say without being arbitrary.
His determination actually demonstrates the lack of arbitrariness. Arbitrary choices are held lightly and easily changed. This was the opposite.
Soliciting and addressing public feedback is; ignoring and/or misrepresenting it is not (and may, in fact, help support a finding that the act was arbitrary and capricious in the light of the information available to the agency at the time of the decision, though that's—even with that fact established—a fairly difficult case to make.)