I've come close once or twice. I think my spacial orientation ability is going as I get older. At least I know better than to floor it, though!
Personally, I prefer to let someone else deal with it, especially the disposal. It's worth the $30 and twenty minutes. I do have that momentary sense of man-shame when I pull in, though.
If I didn't go somewhere to get my oil changed, I'd miss out on the opportunity to get services I don't need while drinking tepid coffee and reading newspapers from three weeks ago.
I am amazed she managed to get her car stuck in the entire span of the gap- you'd think after that instant of shift in orientation the first thing you would slam would be the brakes.