Sebum, not blackheads or whiteheads

Literally, not things like blackheads.

It is literally blood.

Even if it doesn't look like there is any, if you press the side of your nose with your fingernail, sebum comes out. Like a thread...

Why is it that some people don't have this???

I don't even have oily skin, but I sweat a lot

Maybe it's because I sweat, but the sides of my nose are always clogged with sebum.

Is there a solution?

I tried the BHA cleanser, but it leaves my skin feeling slippery and doesn't remove the oiliness.

What products do you guys use?