I would say that it depends on whether your pool has the inflatable ring at the top or is the metal frame style with straight walls.
If you installed a skimmer in a wall with an inflatable ring at the top, you would need to lower the water a couple of inches so it wasn't above the top of the skimmer. The problem here is, the ring rides on the top of the water and there would be nothing to hold the wall up. The other problem here is that the wall curves. The skimmer wouldn't be level like it needs to be for best operation.
If you have a metal frame pool, I don't see why you couldn't install a standard skimmer. I've installed standard above-ground return fittings in my previous Intex pool without issue. The only thing you might want to consider is adding some additional backing support between the outside of the vinyl wall and the skimmer (maybe stiff rubber, thin plastic, or even sheet metal).
Wow! Never seen an Intex built into a deck. Did you cut down the ladder yourself?
Again, I haven't done it, but based on what I have done I can't see any reason why you couldn't install a normal skimmer in the wall. You could probably even provide some additional support from the deck itself. You would also need to drop the water level some. Normally you want the water level about 3/4 of the way up the skimmer.
If I was doing it, I would consider something like this:
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