Does this mean I’m on my own regarding my car’s warranty?
From where are you calling, I ask. Usually, they say some generic company name and I'll ask them to say where geographically.
When they say Austin, Texas or whatever, I tell them you are using a Wyoming area code and if you want to be deceptive on something that simple, there is no reason to trust you on anything else.
Especially something like a warranty that involves giving them cash upfront in exchange for a promise based on trust which you just destroyed.