The question: Is standard bike grease (Park or Bontrager brand) good enough or shall I use high temp auto disc brake grease for rebuilding bicycle coaster brakes? And what is the consequence of not using a high temp grease?

Recently I refurbished two 20" kids bikes with Bendix coaster brakes from the 70s. I haven't rebuilt a coaster brake in years and found the actual Bendix service instructions on line. They call for "high temperature" grease slathered on the innards of the coaster brake. I talked myself into thinking kids would not stress the internals to a high temperature, since they're not likely to go that fast and they don't weigh much (not much kinetic energy). Plus I'm guessing the video games compete for the kids' attention, and I don't expect them to ride them much.

Now, I have two adult beach cruiser bikes I'm refurbing for a friend. I plan to tear the coaster brakes apart, clean and lube.