I've had a total of 5 cats, and none of them would ever drink the special milk they sell for cats.
The thing about not giving cows' milk to cats is a myth. SOME cats are lactose-intolerant, but by no means all. I was told by my vet that if a cat is happy to drink cows' milk and it doesn't make them sick, then it is fine to give it to them.
My newest, littlest one runs to the kitchen when she hears the kettle being switched on, waiting for me to give her a little milk in her bowl. I just wish she wouldn't lift her head and shake her whiskers every few minutes, sending lots of tiny milk drops all over the floor!