There are always exceptions to the rule. If your job forces you spend hours under a blazing sun - yes i would use chrome cameras and lenses too. I was more thinking along the lines of moderate use in that kind of climate. It is also possible to shade cameras under jackets and or in bags.
I have travelled and worked in VERY hot climates (Central Sahara, Israel, Australia's outback etc) and black cameras get hot - but cool quickly if shaded.
Today I think the biggest problem is with electronics. They are a bit more sensitive to heat (and extreme cold) than purely mechanical cameras, though I have always avoided taking anything like that into extreme climates or conditions.
Usually what happens is that in hot climates, combined with humidity, dust etc - ANYTHING will act up with time. Maintenance is paramount.
My other problem is that. at least Leica's chrome lenses are heavy and heat can sap energy and they suddenly become much heavier. A couple of M's, 3-4 lenses will have you "wilting" quickly, unless you are used to the conditions.