I'll use Bayonetta as an example here again.
Say you're playing the game, and you stumble upon an Alfheim portal. Eventually, you clear it, using only Scarborough Fair on your hands and feet, as that's your favorite weapon set. You notice that you got Platinum for time, Gold for damage, and Silver for combos, giving you a Gold trophyfor completing it. The game is telling you, straight up, that you passed, and did well, but could've done better, and it tells you how on that results screen; spend a little more time working on more stylish combos, since you can already kill the enemy quickly, and do so without taking damage.
You consider the weapons available to you, and decide to use a full set of Handguns, which have an identical moveset to Scarborough Fair, but have weaker combo endings due to the lack of Wicked Weave attacks. Also, instead of spamming your favorite string, you start trying out various combinations of punches, kicks, holds, and pauses, to do a bunch of different combos, often incorporating special moves. This time, you get a Pure Platinum finish. Awesome!
If you want a greater challenge, you can increase the difficulty, which will change the game's mechanics and damage slightly, and change enemy layouts. The alfheim would have the same rules, but different enemies.
And the game directly rewards you for these restrictions that you choose to place on the game. There are no degrees of victory in BotW like in Bayonetta, so any restrictions you apply don't result in greater rewards, or at least recognition.
Simply put, there's no good reason (beyond the added challenge) to try to kill a lynel only using tree branches like there would be if the game was better designed, like in Bayonetta.
They could have had some element where, the weaker the weapons you use to kill an enemy, the more/better its drops, since you aren't hitting it and damaging it as much. That way, the enemy is harder to kill, and the game recognizes and rewards you for volunteering for that extra risk. They could apply the same principle to the chest rewards you get for clearing enemy encampments, where the more difficult the means you used to dispatch the enemies, the better the rewards. More rupees, or something. Or special dyes. I dunno.