And that's exactly what I explained. There isn't an answer that doesn't involve the constitution and what judges had to say about things.
considering the police are legally allowed to lie to you, the Miranda warning using the name for a legal concept instead of a more accurate description of the right is about the least abusive thing they can do.

It's not particularly weird for rights to need to be explicitly actioned in general, as an aside. You have to actively get the arms to bare them, write a letter to petition the government, ask for a lawyer and ask them to stop interrogation. Invoking a right isn't weird, but in this case the actual right is freedom from being coerced into self incrimination. They shouldn't be able to start interrogation until you unambiguously waive your rights.