Will a Facelift Tighten Pores?

Since you describe laxity that causes wrinkling along the large pores you might see some improvement in the appearance from a facelift because the laxity will be less. I notice in many patients the a facelift will "iron out" irregularities especially along the cheek skin.
I would strongly suggest adding fat grafting to your procedure as this will transfer stem cells which appear to rejuvenate the skin and reduce pore size.
In summary, you will almost certainly improve your appearance with a facelift, but add fat grafting to also help pore size. The importance of fat grafting to add back missing volume in the face and rejuvenate the skin can not be overstated. After 15 years of doing facelifts, I feel it truly raises the bar to a new level.

No, a facelift will not help tighten pores.
Facelifts do not address textural issues on the surface of the skin; rather,
they help to tighten lax, sagging skin and create a better neck and jaw
contour. If you are concerned about surface issues such as pores or acne scars,
laser rejuvenation, chemical peels, or microneedling may be better for you. I
suggest visiting a board-certified facial plastic surgeon or dermatologist who
can assess your skin during an in-person consultation and come up with a custom
treatment plan to address your concerns.

Unfortunately, pore size won't be greatly improved with a facelift. It may reduce their appearance a bit, but probably not to the extend you'd like.