Right on. Exactly my experience dealing with AWS ("premium") support.
TAM (technical account manager) usually uses every trick in their book to do just that. First they take a while to answer, if they answer, they ask if we've opened a ticket. If the ticket has been openened they will "prioritize it". That means they'll won't do anthying about it.
The answers you receive from that L1 support are usually pages of garbage filled with: have a look at this blog post, have a look at this doc which is mostly irrelevant to the problem you're having.
Then you want to get ahold of TAM again. They'll usually answer in the last hour of that working day so that conversation will have to wait till tomorrow. Want a meeting? Sure! Lets talk in couple of days over that garbage called Chime. Oh, our engineer couldn't make it, we'll schedule the meeting next week. Can you please upload 60GB of your logs to this S3 bucket which is configured in such a way that you can only do it using GUI? Oh, you've split the 60GB files into multiple ones? Can't do that, we have no idea how to read those. Can you reupload?
Want to talk with someone about EKS? After 2 days of radio silence: oh yeah sure! We can schedule a meeting in 3 weeks time. etc etc
All of this makes it even more infuriating is that we've been paying for the support almost 1 million USD per year. And in 9/10 cases we get absolutely nothing out of it, just a waste of our time. For $1M they should have a dedicated tech actually working for us every single day. AWS is a fucking racket.