Are car parts car parts? Not according to an auto-mechanics, but according to the laymen. A radiator is not a battery or an engine. Are games games? Not according to a game theorist, but according to the the laymen. A game is not a play or a history.
This isn't an accident of language. An example of an actual accident of language would be giving tanks instead of giving thanks.
Are runners runners? Yes, according to you. A walker is a runner is a missile is a bowling ball rolling between places is light moving through a medium. No, according to a fitness coach, because a runner is not a tank is not a plane. When they say that a person should take up running they don't mean the person should melt down their body in a furnace and sprinkle their atoms into metal which is then pressed into iron plates that are attached to a tank which will then go running.
Sometimes we need to be careful in language. For example, we probably don't want to confuse the process of being incinerated and pressed into iron plates with the process of a human exercising their muscles. The choice to be careful in this way is not an accident of language. It is a very deliberate thing when, for example, John Von Nuemann carefully explains why he thinks the laymen use of the word game has perilous impact on our ability to think about the field of game theory which he starts in his book about the same.
I think you should make your point so as to disprove Nuemann, not pick on the straw man of running. Or you should argue against the use of the term radiator instead of car parts. It will better highlight your fallacy, because with running I have to make your position seem much more farcial then it is. We do gain something from thinking imprecisely. We gain speed. That can really get our thoughts running, so long as we don't trip up, but it calls to attention that when someone chooses to stop running due to the claim that the terrain isn't runnable, the correct response is not to tell them that running is accidental property. It is to be careful as you move over the more complicated terrain. Otherwise you might be incinerating yourself without noticing your error.