Another note I'd like to add to this - the original sheet does kind of mention the importance of motives for the fight, but the motive and cause for the fight are not important solely for the narrative justification of the scene happening and the moral justification or lack thereof for the violence inflicted in the fight. They're also important because they impact how your character will act in the fight, what they're willing to do, what they might go out of their way to avoid even at the cost of making it harder for themselves. The major actions the character takes in a fight should be evaluated not only from the perspective of whether it will bring them closer to victory, but also from whether it will help to achieve the specific goals the character entered the fight for. And while somewhat interlinked, those two are not entirely the same thing
The reasons for the fight are going to affect what your character does to their opponent; if they win, are they content to let the other person escape relatively unscathed or leave them momentarily incapacitated but with no injury they couldn't fully recover from in time? Or are they only going to be satisfied with killing their enemy? Or will they go out of their way to leave the enemy alive but with severe likely permanent injuries? (Of course even a character who does not care one way or the other what happens to their opponent beyond getting them out of the way for the moment may still end up killing or permanently injuring them, if that's how the fight ends up going. But whether that's their specific actual goal in the fight or not is still going to affect how they fight)
It's going to affect how reckless or how concerned with protecting themselves your character is; if their reason for the fight is purely to inflict harm to the other person with no regard to anything else, they may risk significant injury to themselves just to accomplish that goal. If they're trying to protect something or someone, they'll likely be willing to be hurt themselves to accomplish it, but they may be more cautious because if they're incapacitated, they can't continue protecting that person or thing. If their goal is to get past the enemy or enemies to some place, person, or object, they'll have to be cautious enough that they'll still be capable of continuing on and accomplishing the goal after the fight. If their main interest in the fight is their own survival, then they'll likely be avoiding risks as much as they can while still bringing the fight to an end as fast as possible. If they're a death-seeker or a would-be-martyr, on the other hand, they'll be specifically trying to put themselves in a position to be killed (while still possibly attempting to accomplish some secondary goal to make their death worth more than they feel their life has been)
It's going to affect how dirty or how honorably your character fights; in most cases, when it's a matter of life and death, most people will fight dirty, using anything they can think of to gain any advantage. But if the character feels like they have something to prove in this fight in the right kind of way, or there's something important depending on them following rules, then maybe they are willing to fight nobly, without dirty moves (whatever that means to them) even at the cost of putting themselves at disadvantage
It's going to affect what kind of end the character is willing to have for the fight; is it possible for them to be presented with a way out of the fight while still achieving the goal they entered the fight for, and when they see it, are they willing to take it and leave the fight without a clear winner or loser? Or is seeing the fight through, until one side or the other is decisively defeated, the only end the fight can have?
If they lose, it's going to affect that too; will the character accept the loss with grace and move on to the next thing to do? Will they fight even when it's pointless and they've already lost, to inflict even a tiny bit more damage or prove a point? Will they do some drastic "I can't win but I can make sure you don't get what you want" move?
All those things and more, stemming from the causes and motivations behind a fight, are going to affect how the character fights, what they actually do throughout the fight. Keeping them in mind is genuinely going to liven the scene up and make it feel more interesting and meaningful, and keep different fight scenes (if the work has multiple ones) from feeling like the same thing over and over again