We heard this joke the morning after the disaster.
What I would have loved to have seen is collection of data of how sick jokes spread after a disaster. Given this was pre-internet, the sick Challenger jokes spread extremely quickly, and it would be interesting to see how many origins they had and how they spread out from there. I suspect most of the Challenger jokes weren't thought up by one person and spread, but thought up independently by perhaps hundreds of different people and spread out from there.
I was TA-ing a calculus class at the time, and the prof had added an extra credit question to the final "For 5 points, tell a joke, any joke" just to get us through the 5 hours grading marathon without killing each other. We got a bunch of jokes, but sadly the only one that stuck was
Q: What do NASA and Van Halen have in common?
A: They are both "Hot for Teacher".
At the time, one of my friends with Wall Street connections opined that financiers were the source of a lot of these jokes (this was just when email was taking off). It's good to know that the callousness of the financial industry has only improved with time...