Each person must choose for themselves, based on their own circumstances. The important part, IMO, is that the animal be the first consideration by a responsible owner. Because the meds and treatments are the same, I see no reason not to tell the vet the wd puppy is a mixed breed. He is, after all. Yes, especially if your new pup has a lot of wolf in it.
Wolves can be more sensitive to some medications, especially anesthesia.
I feel honesty with the vet is important. If you live in an area where owning a wolfdog is illegal, or can't find a vet who isn't adamantly opposed to wolfdog ownership, maybe you should reconsider your choice of pet. If you have a high content wolfdog, you'll probably need to tell your vet that he is part wolf. You will need to find a vet who is willing to list him as a dog, so that he will be issued a rabies certificate. For instance, in Maine, if one should bite or be accused of biting, it is to be euthanized, its head removed from the body and the owner is responsible for taking it to the State's Lab in Augusta, and thereafter responsible for the fees involved in testing.