It depends on the road surface but on some they were considerably noisier in my experience. They were noticeably more stable at motorways speeds than a Metz which does have its foibles but braking squirm was never one of them for me, had not heard that generally commented when I looked before buying. I take you at face value that they do if pushed enough but I would guess that most riders don’t tour at a speed high enough for it to be a problem. Whilst I’m far from the fastest thing on the road, I’m fast enough that I’m stressing the tyres as much as most would I suspect.
My next tyre will be something different as I’m still searching for that nirvana tyre, it’s just that for me whilst I didn’t dislike it the TA3 wasn’t it.