No, if the back LED light is red then the flash has over heated. If it's orange it is slave (by default, this can be changed in cFn), and green is master (by default). I haven't overheated any of my 3 600-RT's so I can't comment if 'reddish orange' is the red backlight indicating overheating, but that makes sense to me. This is all documented in that thick manual they sent along with the flash.
Don't know your exact circumstances, I do know that these flashes can't take too many pops. The manual states (by memory) that after 10 consecutive flashes it needs a rest. 1/64 or 1/32 should be a light load, but maybe they were also in the sun? Not like these little flashes have heat sinks, and they're dumping a goodly current off those caps.