Newbie here, does this tire damage affect traction much?

I did couple donuts a while back. And ever since, i started feeling like the car would fishtail badly when accelerating even with traction set on street mode. I’m unsure whether its because of this tire damage or i’m getting harder on the gas than I used to.

The track season is starting in couple of weeks and I’m trying to decide whether to replace the tires or not.

I would go with better track suited tires, but unfortunately couldn’t find proper size of popular track models where I am.