Does the collagen booster work even on slightly rough skin texture?

I don't have deep scars or severe acne, but the sides of my nose and around my cheeks look slightly rough, so I am curious about the effects of a collagen booster.

It doesn't feel severely bumpy to the touch, but in bright light, small pores and unevenness are noticeable, so my skin doesn't look smooth or clean. I've tried using peeling and exfoliating products, but it only feels soft for about the very next day, and then it goes back to being the same after a few days.

Actually, doing it too often made my skin dry and red, so I looked into other ways to care for it and came across collagen boosters.

Can I expect a collagen booster effect even on skin like this?

I am wondering if the collagen booster is a procedure performed only for those with deep scars, or if it is also suitable for people like me who want to naturally refine their fine pores and skin texture. I would also like to know when the effects will become visible.