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It's not a good idea. Likely nothing would come of it- but you'd be getting grease into the coolant. Also, grease contains oil, which ain't good for rubber... and you sure don't want a hose to slip off.
If you wouldn't do this to your own vehicle, why would you do it to someone else's? That's why I do all my own work, can't trust someone else to do it right.
I've done that sort of thing at the shop occasionally if a hose is really putting up a fight for whatever reason... but that's only because my convenience is far more important than the customer's long-term interests. I wouldn't do it on my own vehicle.