This location has a clean Self-service Dog Wash instead of a full service grooming salon, clipping nails and self-haircutting are not allowed, correct?

That is correct. The Self-Wash is only $10, and for the health and safety of all pets, they cannot allow clippers, scissors or electrical devices to be used in the Pet Wash.

Actually, conditioner is still provided, along with shampoo and brushes.

FYI, the price is now $12 and they no longer offer dog conditioner (shampoo still provided, although it is SUPER watered down.)