Just curious Craig, What's the temperature swing in your area of LA between winter and summer? What would the pool water be in the winter, unheated?
I ask because, being curious, I Wikied this.
"The period of November through April is mild and somewhat rainy with average high temperatures of 68 - 73°F (20 - 23°C) and lows of 48 - 53°F (9 - 12°C), but temperatures could occasionally drop to low 40s (~5°C) or be as high as 80°F (26°C) for few days during winter."
It' all relative to what your used to, of course, but to me, those conditions and a pool with good exposure to sunlight would result in an enjoyable swim almost all year. At least for those of us up here accustomed to our NE Atlantic Ocean temperatures. I expect if I lived there, I would soon acclimatize.
But then I also read this..
"The Los Angeles area is also subject to the phenomenon typical of a "microclimate." As such, the temperatures can vary as much as 18°F (10°C) between inland areas and the coast, with a temperature gradient of over one degree per mile (1.6 km) from the coast inland."
So then I wondered what your area specifically is like.