Rook has a different bug. Rook cannot run faster than an enemy, period. Try it, try hitting someone with a poisoned dagger, dizzying force, or whatever, and you'll see that rook's speed will scale down to their reduced speed, so the only way rook can attack and chase at the same time is if he's already at zero range.
So if you just right click an area ahead of a snared enemy as rook you can catch up to them and hit with independent weapons, but the instant you target them to autoattack you'll be snared.
From what I can tell Rook thinks he's a ranged attacker. Ranged characters behave similarly, if regulus is autoattacking a running target hit with shrapnel mines or mark of the betrayer he will not charge into melee range as he fires at them, he will adjust his speed downwards to maintain range. Rook does the same thing.