This is true, but the reason is that metabolic functions typically work better at higher temps. That causes some other problems like
@Fraggin crazy stated. E.g., dissolved oxygen levels decrease as temperature increases. Fish definitely get riled up at higher temperatures. Metabolic waste in a closed system increases as temperature increases. So there is a trade off, and trading a lesser degree of coral growth for less waste seems like a no-brainer to me. Other problems that come from increased temps are increased algae, risk of out of control algae and bacterial blooms, increase in growth of fish and coral diseases, greater risk of rapid growth leading to "alk burn" (which is simply skeletal growth without the accompanying tissue growth), bleaching, RTN, STN, less oxygen, and so on.
I personally keep my tanks at 79-80 and don't see a reason to purposefully keep my tanks above 80.
I would advise to think about how to keep your tank parameters as stable as you can, including the use of a doser to keep your alkalinity stable, also calcium and magnesium. How old is your tank? I don't like to add SPS to a tank less than 6 months old, and then only if I know the alkalinity consumption rate or I can figure it out. In terms of SPS, what will help the most is stability:
1. Keeping alkalinity super stable with a doser.
2. Same with calcium.
3. Keeping flow steady so corals can grow with the flow. LOL
4. Lighting stability. Set the schedule and leave it. Corals will adapt to your lights as long a they have enough and are not getting fried.
That's all I have. Long enough post...