Exactly this. You don't want to ride on the tires that baloon waaay too much, unless you want to ride on sidewalls... Which will be fast, but not for too long.
I dont think anyone will ever disagree w that, but it's a question of quantifying it / at which point does it matter, and also, how aggressive is the rider with cornering?
I have 32C measuring 34.4mm, there's zero issue. Also, when my rear tyre gets old, the middle of the tyre gets flat, because most of my riding is on the flat, little cornering.
Would a 35C measuring 38mm be pushing your luck? idk, but somehow i doubt it.
I do remember that bicycle rolling resistance noted that the fast Michelin road tyre in 28 i think it was, had a very narrow usable thread, with more sidewalls than competitors. So a tyre like that, you'd want to be careful with.
But i've never heard such issue w Conti GP5000.