Do you heat all the bread you eat? Toast isn't cooked bread as such - bread is already cooked. Toast is just changing the composition and moisture content of bread, usually only on the surface. Originally as a way to make stale bread more palatable and maybe to delay bread going stale (the bread inside the toasted outer crust would go stale more slowly).
Putting butter (or anything else) on toast is equally strange when viewed in isolation - why dry out the surface of bread and then make it much wetter than it was before? That makes no sense - if you don't want the surface of the bread dry, why did you deliberately dry it out?
The answer to all the apparent inconsistencies is the same - it's how the person eating it likes it. Taste is highly subjective. For example, I find cooked cheese repulsive. Literally so - the smell of it forces me to leave the area because otherwise I will vomit in disgust. The sight of it isn't much better. Does that make eating cooked cheese wrong? No. It makes eating cooked cheese wrong for me. Or beer. Some people claim there's a single right temperature for drinking beer. Some of them will argue about it. The right temperature is 20C! The right temperature is 5C! No. The right temperature is whatever the person drinking it likes, whatever that temperature is.
A surprising number of customers at my workplace like tea and/or coffee made hot and then left to cool to room temperature. You're not all that strange in that respect. Iced tea and coffee is a thing too, quite popular in some places.
Each to their own. If someone likes their toast soaked in cold coffee and covered in custard, roast beef and apple peel, well, have at it. As long as I don't have to eat it, why should I care?
