Concrete

I don’t know for sure.
Oklahoma red clay that expands when wet and shrinks up when dry I’d guess.
Parts of Oklahoma are notorious for cracked slaps, busted water lines and etc.

If clay is shrink and swell type the cracks will make the top coat crack too unless you do a great reinforcement job. The best and expensive way would be to take out the old and put a layer of gravel, then plastic and then reinforced concrete with expansion joints and/or cut joints.

It is likely that the slates/tiles/pavers will eventually crack as well because the underlying issue has not been resolved.  Unless, perhaps if you cut-in a few expansion joints in the existing concrete patio using a chop saw or something similar, then installed your overlay material while incorporating the expansion joints, then it may last without additional cracks.

Clear as mud?

If you have minimal or no settling, you can fill in the cracks with hydraulic cement. Super strong. Gotta work fast. Then go back and cut expansion joints with a concrete saw. As a general rule it’s very hard to keep concrete from cracking. The best thing you can do is give it somewhere to crack. The best thing you can do when pouring new concrete is, as soon as it hardens to the touch, keep it wet for about a week or so. Makes it dry slower. And here, I never add calcium. It makes it dry too fast. If you decide to pour over your existing pad, I would still fill in existing cracks with hydraulic cement first. Then pour your new pad and cut expansion joints in it. Hard to say without seeing what you’ve got now, but there’s a good chance you can patch it and then tile or stone over it. But again it’s hard to say.

I probably should have taken before pic but remember the 90’s with drop ceilings with the fluorescent lights up tabove with translucent panels ?
I spent the whole day tearing it out in shorts and flip flops.
I’ve been cut and stabbed all over and may have eye damage and need a tetanus shot.
One bathroom complete and one in progress plus the patio.
When I die someone will have a really nice house 😆