So I guess the right to a speedy trial only violated if the prosecution delay the trial for no good reason, but if the whole system is under resourced it doesn’t count?

This. Illinois has a 120 day speedy trial statute (and the constitution has a vaguer requirement), but as you say it is only really violated by the prosecution. If your attorney agrees to any delays the speedy trial clock does not tick.

Yeah, if you waive the time, it's called a waiver of speedy trial. Or just a waiver of time, then it can be delayed, but I don't think I've ever seen indefinitely. You should see if you can get your trial televised for that lol.

Yeah that can happen as well. If the state isn't prepared, it will just be delayed indefinitely. Although I have seen cases where that has happened, and the judge will eventually step in and set a trial date, usually 6 or 8 months from then. I don't think I've ever seen 10 years, that's something ridiculous!!

That's true, but usually if it starts adding up, and not progressing fast enough, you'll start hearing the judge say hey, let's get on with all of this. That is of course unless we're having problems with not having an attorney etc. Although there are cases where that doesn't happen definitely. Or one side chooses to waive way, way too much time, for some ridiculous reason.