Fanaelialae
Legend
We're comparing the rules, which inform the play experience but are not the play experience.Indeed if you evacuate most of the fun of a RPG and play on bonus and abilities.
For example, in a campaign where the DM says yes to anything and everything, there's no meaningful difference between the wizard and the fighter whatsoever. The wizard casts fireball, and when the fighter asks if he can mimic what the wizard just did and also cast fireball, the DM says "Sure!".
To use a less extreme example, imagine if this DM follows the rule of cool. The characters are fleeing a collapsing dungeon, but a 20' wide gap blocks their path. The wizard casts Misty Step and teleports across. The fighter asks if he can hook his grappling hook into the ceiling and swing across. The DM says yes and, because this is a high level fighter and something like this would be trivial for him, allows him to automatically succeed. Still not a stark difference. Though, the wizard could have potentially done the grappling hook thing too (depending on the DM) and saved himself a spell
Now imagine a more traditional DM. Same scenario as before. The wizard Misty Steps across, and the fighter asks to swing across. The DM says, "Sure. That'll be an improvised weapon attack and the whole area is collapsing, so make an attack with disadvantage to hit your target. Don't forget that you don't add your proficiency modifier because you're using an improvised weapon. You succeeded? Great! Now give me an Athletics check with disadvantage to see if your grapple hooks something that can hold your weight. Success? Awesome! Now I just need one Acrobatics check to swing across and land on the other side. Low roll. Too bad, you fall into the 200' deep chasm taking 20d6 damage. I hope you can get out before this place collapses!"
Anyone can do anything (that the DM permits). That has little basis in a comparison of two classes, because it will change dramatically depending on the DM. It the fighter had some ability to "stunt" better than other classes then it would have some bearing on this conversation. But the fighter doesn't. You can't claim that something every character can do, or that a particular DM grants fighters because that's how they think fighters should work, is a reason the fighter is good. Because that's not a feature of the fighter, but rather of all characters or the DM (respectively).