I am sorry, I dont want to offend you, but you’re wrong.
The Avatar is much stronger on tvhm mayhem 3. I tested both intensively, and yes, the hellcat build is really strong and really tanky.
But the avatar ties that binds build has sooo much more damage. I can deleat anointed ones in less than 2 seconds, in fact I can kill a whole wave in under 3 seconds, no matter how strong they are.
And the extra charge of avatar is a real power up, especially with a 5 second cooldown. To destroy two waves of enemies before you needto wait 5 seconds is huge! In fact I dont need tankyness with that build becouse I destroy everything before it can hit me. And the cc of stillness of mind takes care of the rest.
Of course nothing is really objective here, it comes down to your playstyle. But with the avatar build you can kill mobs and bosses faster as with any other build.