There is absolutely no question about that. In fact, a constant temperature is normally not required at all and is generally considered harmful in a captive environment. In short (and in general), 80F is about the ideal temperature for most Indo-Pacific corals (which make up about 95% of what we see daily in this hobby).
It's widely observed that in the wild, temperature changes can happen quickly; sometimes as much as 10 degrees every couple of hours (or more). This sort of short term fluctuations (within the normal temperature ranges corals acclimated to) do not induct stress response and help to condition and strength the corals immune and thermal stress system. Temperature fluctuations are important for the corals' own survival and it's something they have evolved to deal with their entire evolution history.
Couple discussions:
Temperature question
Acceptable Daily Temperature fluctuations
There are tremendous amount of information regarding this topic if you look a little deeper. It's better to keep a constant temperature is the absolute #1 myth in this hobby by far, in my opinion.
In the summer, my tank runs from 78F to 86F daily and 77F to 79F during the winter.