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It sucks if your crit chance is low and your weapon's attack angles don't get headshots reliably. Pyro can achieve some of the highest crit chance levels in the game - that's why it used to be the most overpowered career by far on Chaos Wastes if you got the lightning on crit boon.
Thp on crit only procs once per attack, giving you 4 hp at most. Pyro has up to 45% crit chance. Lets be generous and 55% crit chance, lets say you get 3.1hp on average, because you do hit heads and have the average crit rate at 80%+ hp.
Thp on cleave gives you 1 hp for hitting 1 enemy: seems worse.
2.2 hp for hitting 2 enemies, which is already better than non crit headshot.
3.6 for hitting 3 which is better than average from crit hp,
4.8 on hitting 4, and 6 hp per attack when hitting 5.
Realistically you get much more hp so much more reliably by using thp on cleave than on crit.
It's entirely possible to get 55% Critical Chance on Pyromancer's melee:
Now when you consider that with 'One with Flame' (lv.20 talent) and Swift Slaying weapon trait active (it's gonna be nigh permanent with such high Crit Chance) you'll also have 30% increase to Attack Speed, and that you can take 'Bonded Flame' (lv.30 talent) to give you 35 THP on using 'Burning Head' (your combat ability), you can probably see how this could become absurd THP generation. Especially because it would work well even outside of horde.
So I'd like it to be considered, but it should be tested out in private/open beta branch. Maybe it could replace the third lv.5 talent even.
On stagger doesn't proc on bosses other tham stormfiend when you hit its back. Thp on cleave is great for fast attcking weapon, thp on stagger makes you unkillable with shields.
It can't proc more than once per attack, so only time it is superior to thp on cleave is when fighting less than 3 enemies. When fighting more than 3, thp on cleave very, very, very easily outperforms it, giving you upwards of 6 hp per hit (unless you're using the ♥♥♥♥♥♥♥ crowbil i guess).
Not even slightly.
All of that adds to less hp than on stagger and on cleave still and the 30% attack speed applies to both of them too.
The only upside is being able to crit bosses for 2 hp most of the time since you probably aren't always hitting heads since boss won't always be aggrod on you and most bosses move.
Fighting an elite, especially as a pyro won't matter. Whether you get 12 thp or 3 if you're 1v1 -ing an elite there is no danger.
Similar case with bosses.
Thp on kill and crit both suck. Crit sucks slightly less.
Also there's no real reason to take thp on crit over cleave, since cleave is so much more reliable. And only time it is less effective (in theory) is when doing 1v1s, which should pose no danger to an experienced player anyways.