They’ve been here, there, almost everywhere. Go back to the 00’s and 10’s and see how much fun they had hanging out in 
hotels, on planes, on trains, with the Clintons, at the UN Building in NY, at this or that famous company’s head office, etc. etc. etc…
So it’s really no stretch at all to imagine them going to the Olypmics. Just sayin’.
I don’t recall what the timeline is for freezing them to death, but heat is pretty quick if you get whatever object you’re cooking uniformly to the right temperature. They sell special little ovens for the purpose on the interwebs.