I don't trust any of these connections.
After removing the pipes, the job got a lot bigger. The inside of the garbage disposal was completely melted. Seriously, WTF?
One more trip to Home Depot for a new disposal and a few hours later, it's done!
I probably should have installed two traps, but I couldn't bear the thought of yet another trip to pick up even more parts. I'll do it that way when we remodel the kitchen.