No they just reroll. Before this update and some years now, especially after 2.4 (for pc) named specialized crafters were holding the key of the game. It’s about 2 years now that the community whines about the legendary weapons and Ofcurce after 3.0 (pc) legendary weapons were rubbish. So for nine straight months every now and then you would see a post whining about legendary weapons. Now that the legendary weapons are cool everything else took the downhill. But yea, i can understand what you’re saying and the only explanation i can give is the one i tried to give above
Imagine a total balanced game!
We will all get bored of it in a week and the community would focus on the hundreds little details that they need fixing years now. Sometimes this game looks like my government dude
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Thanks for chatting m8 
Ps. Just test it. The excecutioner perk on the act of violence works on the arena champion 