Does the blemish treatment work on pigmentation that isn't easily covered by makeup?

In the past, when I applied cushion foundation or regular foundation, the blemishes around my cheeks were barely visible, but recently, I feel like small pigments are showing through even with makeup on, so I have become interested in treating blemishes.

I can cover it up with concealer, but applying thick makeup every day is a burden, and as time passes and the makeup wears off, the pigmentation shows up again.

I want to keep my skin a bit clearer; would blemish treatment be effective in this case? I am also wondering if it is realistic to expect the blemishes to simply become lighter than they are now, rather than expecting them to disappear completely.

I would also like to know how many days it takes to wear makeup after the blemish treatment. If the recovery period isn't too long and noticeable, I would like to schedule a time to start.