I used all vegan stuff in a shoot the other week to test this out and it was great. No lingering dairy smell - although I did still soak the messy clothing in biological laundry detergent just in case (my newest trick for getting rid of dairy smell) but I'm pretty sure it didn't need it. I'd left it all overnight in a bucket before the soaking, and it didn't smell.
Dairy would have stunk the house out if I'd left it like that. I'm testing it again next time without the soaking