I have only skimmed the comments, so please forgive if I’m misreading anyone, but I want to react to a number of people who seem to be implying that it’s mean/out of line/whatever for a vet to want to examine the pet and expect you to pay- perspective from a former clinic employee. You being general.
My clinic most of the time would do euthanasias for our existing established patients for no charge as a courtesy. If someone wanted to bring in an animal we had never seen before for euthanasia, we would do that, but it would not be free- and there would be an exam/conversation. In ALMOST ALL cases, this would be a quick conversation with the owner about the animal’s history/QOL, and that would pretty much be the extent of it. But it is reasonable to allow the veterinarian you are asking to perform this service for you to make sure they are comfortable doing so. Every once in a while, it would be “I want to PTS my cat because she pees outside the box”, and that might turn into a surrender conversation rather than a PTS conversation, because the vet in such a case might not feel that euthanasia is warranted.
Also, it is only fair to expect to pay for the vet and staff expertise and time, whether for an exam or the euthanasia procedure or whatever- again, some may not charge you if you have an existing relationship, but even then, it shouldn’t be the expectation. You wouldn’t expect to work for free and neither should your vet.
As far as timing, my clinic would bend over backwards to fit in an established patient for PTS whenever it was needed. But again, it isn’t fair to expect a vet who you have never used before to extend the same courtesy- you are a new patient to them, and will be booked wherever in the schedule they are able to book a new patient. Just as with urgent medical issues, this is the biggest reason you should have an established vet you take your pets to annually.
All that to say, most likely no one is planning to argue with you about whether it is time. The receptionist or whoever answers the phone is just warning you that you won’t just walk in the door, euthanize, and leave, as you might if you had an established relationship with the vet- there will be a conversation with the vet at minimum.