Ok, so I flew today for 1 hour and 40 minutes and I'm flying back home tomorrow evening. So Bathys are not the best in the business for ANC. But they do an okay job no doubt.
I used them continuously for over three hours. When we were ready to board the plane and everyone stood in line, that's when I concluded that they do an ok job but you can still hear people speak, thats when I took of the headphones and realised how loud it was in comparisment without them. So they do an ok job for sure, you can hear people but you won't understand a word of what they are saying.
On a plane I didn't sweat for a second and didn't feel any moisture between my ears and headphone cups, but people are different in that case. The seal never broke even after moving a bit. You could hear some engine noise, but not that bad honestly.
I watched netflix through the whole flight (The Lincoln Lawyer) I was more relaxed than usual I would say. Decent amount of noise was blocked but not all.
Personally I'm very satisfied with them. I will always choose sound over ANC