My pores on my nose and cheeks become more visible when I wear makeup. Can this be improved with skincare?

I am concerned because although I don't usually worry much about my pores, they tend to become more prominent around my nose and cheeks when I apply cushion foundation or regular foundation. Even though my skin looks relatively fine right after applying makeup, over time the base can settle into the pores or the skin surface can look uneven. I am wondering if this problem is due to the cosmetics I use, or if it is caused by my skin texture or the condition of my pores.

I think there is a difference between using products that conceal pores, like primer, and actually managing the skin itself. Would it be helpful to check how much sebum has accumulated inside my pores before switching my cosmetics?

I am curious what condition dermatologists examine first when pores become emphasized during makeup application.

Is it possible to manage the sebum around my nose and the small bumps on the inside of my cheeks at the same time? I am not expecting my pores to disappear completely, but I would like my skin to look a little smoother when I apply makeup.

I would also like to know whether I should prioritize sebum control or skin texture care when dealing with these concerns.