To Hit vs Proc.

[Kika Maslyaka]

absolutely nothing affects your chances to hit with melee weapons.
ATK (which is derived from STR and skill) increase the chance of penetrating enemy armor and dealing damage.
The confusing part here is that when you hit for 0 dmg, you see "missed" message, which doesn't reflect what has actualy happened properly. So its not possible to know for sure if you miss the target or you hit for 0 damage

So when people say you hit more often with higher ATK, in fact seeing more non-zero hits, but actual hit chance never increases