Hi, Kay,
If I read your post correctly, "that solar input would ever be greater than losses from evaporation." wouldn't that mean that a pools' temperature would never rise during the daytime? Mine sure does.
As to whether the cover adds or subtracts from heat gain is, I think, dependent on all the other variables associated with the cover off (namely wind, RH, color of the pool, etc.)
No, did not say that. Just stating that there is a huge loss of heat due to evaporation. I strongly believe that you are better off with the cover on as it reduces evaporative losses. I guess you could try it for a week with the cover on and a week with the cover off and (if conditions are the same) see which works better for you. I have done it both ways and find when I leave the cover on during the summer my heatpump almost never runs, but when I leave it off during the day the heatpump has to run more.
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