Psychophages are indeed the problem, and it’s not just the monk statue. Our lack of a slow makes kiting them problematic while also maintaining control.
Can it be done? Sure. Although I’m told by others that Psychus 2 is particularly difficult for bears (I haven’t actually seen a successful log of somebody doing it, in fact, although I haven’t checked every single bear log).
We need to rely on other forms of snare (such as Remorseless Winter, Hunter abilities, etc.) because we can’t provide it. Blizzard’s cheap cop-out this expansion was Honeypot Pie, but that only works when they melee you so it’s ineffective against Psychophages since they don’t just run up and take a swing at you.
Out of control psychophages lead to sanity losses which lead to cuckoo players which lead to wipes. Can it happen with other tanks? Sure, but not to the extent that we have problems with it, simply because we don’t apply a slow.
(Corruption has also made this a lot easier since psychophages die a lot faster. Thought Harvesters also used to hit like a ton of bricks, but also not really an issue since they fall over much quickly now that we all overgear the fight.)