Can I rename a utility function based on its properties?
You can do whatever you want, it's your paper. Will it make it more difficult to publish? Yeah. Referees are fickle and easily annoyed.
You would not be the first person to go down this route. For example, the term Maskin monotonicity is common place in implementation theory. However, some authors use another term, I believe Maskin invariance. The claim is that invariance is a more appropriate term for the definition. Its worth noting that all of these authors had the same advisor who is a giant in the field.