I have had several similar pools and the best one was the one with the filter. I have seen it available in several different sizes and my kids loved it. The filter system worked really well and the filter only needed cleaning from time to time and if need be, replacing the filter was easy. Sprayers mainly dispense cold water, unless one has an outside hot/cold water faucet to mix the intake. The pool without a filter needs to have it's water constantly changed.
The Filtered Pool was the easiest and most maintence free pool. The size was perfect for the price.
The only drawbacks I have had with the pools was if you live in an area with animals. After the first summer we used it, a neighboring cat decided to try to drink the water. The pool works on the top ring being filled with air. When you place water inside the pool, that ring makes the sides float above the water line, thus forming the sides of your pool. Once the cat placed several holes in the pool from it's claws, I spent several days trying to patch the holes with several products. I ended up getting three summers out of the pool and it is now garbage, mainly because of several cats climbing on that ring.
The only other drawback I found was that once removed from the box, it is impossible to store it back in the box once the pool is removed because of the material and size. You just can not fold it back up again the same way.