My fryer pilot stays on, but shuts off when I turn up the heat. Has anyone dealt with this?

That happened with one of our fryers. The pilot would hold until the fryer called for heat, then it shut off. I didn’t keep relighting it because it’s gas equipment. We had the thermopile and high-limit checked and went through the warranty company. I’d turn it off and get a licensed tech instead of trying to bypass anything.