If your boss doesn't even try to negotiate a new contract with you, that is seen as being fired or moved on from.
If your boss tries to negotiate a new contract with you, that means they value and want to keep you. In that situation, most people don't see that as being fired by the boss. They see it for what it is, which is you wanted to work their and the boss wanted to keep you, but you couldn't come to an agreement on the terms, so you parted ways.