I'm going to ask someone to let me in the dog park without my id
Why you would ask them to do that?
I don't care to, they need to keep their pets off my dog.
It is normal to ask questions in social situations. If your dog gets harmed they might want to know who they need to pay. If your dog has puppies they might be liable for the pregnancy and need to offer you support.
None of that will happen and I don't care about them asking about it.
Well it is normal for people to ask questions. If the park has rules about ID you need to follow the rules to be able to come back next time then.