Be careful though, I don’t think the default PID settings are actually reported by M503, this awesome forum member explains it here: Thermal runaway check too aggressive - #5 by brent113
He was indeed right and I had to go digging through the forums to find the stock PID settings which were different than what M503 returned for me.
M301 P13.00 I0.02 D17
Is what M503 said, on the forums I found someone saying that it changed to
M301 P13.00 I0.02 D106.25
Which (looking at that graph) works way better:
(Left is what M503 returned, right is after the new setting)