Hi Billy Joel's girl (i.e., Uptown Girl),
We always eat breakfast on the lanai when we're in TV and eat breakfast at home. I can't imagine we ever would not. I also love sitting on my lanai reading, sipping a first coffee in the morning before breakfast or wine in the evening. Don't sit out during the heat of the day in the summer though. When we were there last fall and this spring, I frequently sat out in the afternoons after a morning of golf.
But, here's the real point. We have private back-yard lanai, so you won't see me sitting out there, except when you come over.

I think that's more important than orientation, although we do love our SE exposure.
We sometimes play golf in the early evenings and when we do, we often see people on their lanai's on the golf course.
So no, I don't think people get tired of their lanais!