Hotter water temperature will have the chlorine demand increase from anything chlorine is reacting with, including oxidation of CYA and of pool covers and even chlorine outgassing. However, if you are able to maintain the FC/CYA level, then algae should not grow. It sounds like the increased chlorine demand is making it hard for you to always stay above the minimum FC/CYA level. You'll need to target a higher FC accounting for this loss and yes that means you'll be adding more chlorine during these hot days.
The problem is that once you have an algae outbreak, the algae clumps take higher FC/CYA levels to kill them -- that is the purpose of a SLAM. It's far easier to prevent algae growth than it is to kill existing algae clumps once blooming. You might also have a circulation problem if the algae is growing in a place of poor circulation. Pointing the returns to improve bottom circulation might help. Brushing could also help but that's more manual effort -- usually you want to do that weekly or so, but with bad circulation it could need to be more frequent than that (hence better to fix the circulation problem more directly).
If you wanted to use less chlorine and target lower FC/CYA levels, then that requires something else to prevent algae growth such as algaecides or phosphate removers, but those are extra cost and of course more complicated (another chemical to use and another measurement to control). We also don't have any charts to guide you with respect to FC/CYA levels in that case.