I don't know if "embarrassing" is actually the right word.
But you all forget one important detail.
(SPOILER)
http://images.wikia.com/finalfantasy...ket_corneo.png
Soup Dude uses the mobile carts here to carry around his ingredients. You can also see another pot with a brew going on there, that one is for visitors to the mansion. But I digress.
The party kills a lot of the Don's minions when they invade.
However the Don doesn't just weep about it. He hires new guys. These are the people who recover Aerith's body for Soup Dude. Their job is to take the tunnels back and forth, scavenging etc etc etc. Don't tell me about Don falling to his death on Disk 1 (you tricky bastards). Why? BECAUSE THEY STILL DO THEIR JOB. The Don was off chasing tail, he'd be pissed if he came back to find his minions not doing their job.