I noticed that many of those websites abuse the debugger functionality, freezing the browser whenever someone tries to open the developer console. Did you find a way around that?
If read-only access is all that is needed, SSLKEYLOGFILE might help. https://my.f5.com/manage/s/article/K50557518
But they have some script in there as well that checks for if you're in dev mode somehow, and as well on top of that misbehaves if you're in private mode.
At that point I got tired of fighting it, and realized none of this Javascript nonsense was going to work against Fiddler or other proxy-based solution.