In practice, if you keep your water sparkly clean and are prompt about your water changes, AND the temp were to stay at a consistent 72 degrees, it would work fine. I have 4 bettas here on my desk at work whose temps during the entire 3, 5 and 6 months (approximately) they've been with me were at 74 degrees. They're all perfectly fine. I slipped on water changes for a little while, and little Charlie wound up with velvet too - but everyone else is doing just fine and now the water changes are back to religiously twice or even three times a week.
When the summer rolls around, I'm afraid it will be a different story, because the a/c will be on. I'm going to see what I can do about having some sort of larger, heated maybe divided tank though..
But... the key is having a consistent temp rather than fluctuations. Having a steady 72 or 74 is much better for them than having 80 one day and 75 the next etc.
However - i do agree - higher temps overall are much better for tje,/