Journalistic practice is to write out the full word once, then use abbreviations. That makes it clear in most cases. To avoid confusion in this post, I just avoided using the term c rate.
I take a practical approach to hot battery, since I live in the desert. This is for typical bike use, not racing, or stationary applications.
Firstly, I cant do shit about it being hot out there, 40 degrees centigrade out there is the reality.
Secondly, if my batteries heat past that in use, then I have a problem to solve. Usually by making the battery bigger, lowering the discharge rate, so the battery no longer gets any hotter than it starts out. Or, switching to a better battery that can stand the discharge rate of my bike.
Thirdly, store as cool as you can conveniently. I'll never bring my battery inside to be cooler again, so now I'm storing them in an insulated box. It still gets hot in there, sometimes 30c but never as hot as the days high temp.
But a stationary battery, large and expensive, it would make great sense to climate controll it. If nothing else, inside very very thick insulation.