Nope. JLC every time here. Never a problem.
I never had quality problems. I remember reading an email with the report from an electrical test from one of my boards, so I don't know why you say they don't do it.
I only contacted support once and it took them 2 weeks to respond. Could be better I guess, but my experience with other PCB companies tends to be worse. I'm used to never getting any replies at all.
I did feel kind of cheated when they sent me an elaborate market research questionnaire. In exchange they offered in-store credit. I took the time to fill it out and send it to them, but I never got the credit they promised. I never contacted them about it because it wasn't such a big deal, but it still left kind of a sour taste.
With JLCPCB on the other hand, I've had things stuck in customs for 2-3 weeks multiple times due to documentation issues and then I had to hunt down someone at JLCPCB with the authority to provide me with a fixed invoice.
That said, I've heard that the JLCPCB DDP terms work great (where they pre-pay customs for you) but they didn't allow that in my price range.