You have to make the music work for you. In the Puccini scenario, you play it off as, "hey, you want nessun dorma, I'll give you nessun dorma. I've been up all night trying to find out this fool's name, of course I'm a little wobbly."
Sasha Cohen once fell out of her closing pose as Juliet. While sprawled awkwardly on her back she mimed taking poison, Then, collecting her wits, said, no I mean ... and she stabbed herself. (She won.

)
I once watched one of Ann Patrice McDonugh's

full practices as Cio-Cio San. She ran through two endings several times, with and without suicide. One of her coaches said (I assume in jest), "yeah, if she misses that last triple Lutz, she's going to kill herself." (She didn't, and won the Skate America silver medal behimnd Michelle Kwan.)
In Alissa Czisny's exhibition skate at Four Continents she fell twice. Not to worry. She was doing You'll Never Walk Alone and both falls came on "though your dreams be tossed and blown." That way you can struggle to your feet and "Walk on....Walk on... with hope in your heart."
In any case, if there is beautiful music playing the audience can always just close their eyes.