Fixed those typos. You have such trouble sometimes spelling his name, I thought I'd help you out. Is it a Virgil/Vergil kind of thing, I don't know. I mean, his name is clearly spelt out in the game, subtitles and material as DANTE, not Donte.
Glad to be of help though.
To address your points, yes, those characters are sometimes played off as physically invincible to a point, but they still show emotional and mental vulnerabilities. THese moment of "nothing stops me" often is seen as moments of bland and bad writing when there is no reaction...like when Punisher blew Howlett's face off and he just kept going.This is important though since your main example, when NT!Dante was stabbed in a fight, was from him as a teenager, likely when a lot of his hybrid powers had not yet kicked in. I mean, he's in his early 20s when he finally devil triggers in DmC. You still feel PAIN even if you just heal it.
Often times, the good writing, eastern or western, is marked be being able to explore your characters beyond "how awesome and unstoppable are they". In DMC1, we saw vulnerability in Dante; a lot of it was emotional, be we saw he had weaknesses, and if not for the sheer overdrive brought by the Sparda sword, and Trish' sacrifice, Mundus WOULD have killed him. In DMC3, we see some moments of this, but not many. th emain one that really comes to mind is when Dante pretty much takes a while to recover from being double impaled at the end of Mission 9. in DMC4, however...yeah, he's basically just an invicible god and really just comes as an unfunny jackass half the time.