I'd say all of the above + your pool filter is a dream to manage, your FC demand should be less than expected, if your water gets too hot in the summer the screen will prevent that.
The downside is you may want a place outside the screen for people that want strong sun tanning, you might want an additional source of heat like solar to keep the pool warmer.
When I bought a house with a pool I wouldn't even look at that home if the pool was not screened, I had no desire to try to keep an exposed body of water clean, nor would I want to spend much time outside on a patio with the FL bugs...