Except that competition would never be the point of my training. It's not what I train for. It might be a useful component in my training, but not the point.Yes. I'm saying that they are both great, but do different things.
If this were cooking, sparring would be part of the Mise en place, along with kata, drills, fitness and everything else. Competition, like combat as a soldier or working as a cop, is the result of training. It's what you train for.
I like competition because it's far more accessible to the average joe or Jane accountant than being a cop, or a soldier.
And you're still not addressing how the two are materially different. If you and I go at it under a ruleset, the utility of that interaction doesn't necessarily change because it's part of a competition, versus us just squaring off to see what happens. The intensity matters. The ruleset used matters. The existence of a referee doesn't really matter. The existence of an audience might matter, if it makes one or both of us nervous or excited.