That is correct. In the summmer, the sun goes from east to west directly overhead so shade from the house is non existent.
In the winter months, however, the sun goes east to west over the southern sky so a south-facing pool gets sun all day in the winter, whereas, a north-facing pool is shaded by the house from around 11:00am until about 4:00pm. .
Also, a two storey house will shade more than one storey. During certain months, (Spring and Fall) a one story with a north-facing pool might get some sun at the extremeties of the pool's back edge but not a two storey.
For a diagram of this, visit the following link and go to the very bottom of the page (please note that the angles on that page are for Canada I believe but the idea is the same) ->
I would only consider a south facing pool in hottest months if it had a canopy.Im not really into sunbathing.I just like the sun on the pool.
Shade will also depend on your neighbours home-is it one or two storey?How close etc.
We've rented houses w/ and w/o the "south facing" pools- and honestly--I don't think it made that much of a difference. The entire 8 days we were there was hot, muggy, but not sunny. So, I wouldn't let it dictate where you stay or anything.
It is wonderful to have the sun but if you are renting a pool home in the warmer months you might want to ask if there is any covered lanai. Some of the rental homes I have seen do not have a covered portion. I love the warm weather but hate direct sun. I sit under the cover when ever outdoors. You might think you do not need it but if you are spending a down day by the pool a little relief from the beating sun can be a godsend. That is just my opinion. I am not a sun bather as you might have guest.