I think it's a toss up. Our lanai faces WSW and is pretty toasty these days, cools off enough to sit outside after sundown, with the window open, as long as the fan is on. It is enclosed with acrylic, not under air.
In the cooler months it is great, we use it all the time ,eat breakfast ,lunch and dinner, nap on the couch, nice and toasty even when it get int the 50's.