I just feel that completely removing them would lead to him feeling less unique (izuna drops aside). I think it's something that somewhat fits him. t's not like we could just slap something like his teleports onto other characters onto other characters. Maybe Hayate, I guess. But, I don't think he needs it with how his wind stances already work.
Well, see, a lot of us got accustomed to Hayabusa back in DOA2 and DOA3 where he didn't have the teleports.
Perhaps I'm biased because he's my main, but to me even in the absence of Izunas and teleports Hayabusa demonstrates one of the most unique styles and movesets in the game. Many of his moves are even featured in Ninja Gaiden, such as 6PK, 8T, 1P+K, 7P, H+KKK and his old 3H+K. While others are similar to his Ninja Gaiden moves, like 6KP, ongyoin T and 236P+KPPK.
Teleports are much less signature of him than those moves are, imo. I feel like merely teleporting isn't really a "Hayabusa-staple." Even without the teleports his moveset would still be 10 times more novel and unique than Hayate's or Momiji's.
And that is only covering aesthetics. Gameplay-wise, the teleports are just not something I like at all. If you mained him, you'd get tired of having to really on gimmicks in neutral 100% of the time because some idiot thought that would properly compensate for having some of the shittiest mix-ups and neutral game pressure in the franchise.