This is just pointlessly pedantic. You are going to get into all sorts of problems if you arbitrarily substitute any of velocity, acceleration or energy for any

This is just pointlessly pedantic. You are going to get into all sorts of problems if you arbitrarily substitute any of velocity, acceleration or energy for any of the others. Having unstated dependencies is only going to lead to avoidable confusion. The key insight revealed in the term 'escape velocity' is that it is independent of the mass of the body. It is also independent of how quickly it acquires that velocity.