Tagging @Tritre to state a point to them.
I would in my opinion love to have breeding but the "drawback" of breeding rare mons and legends can just be limited like the mainline games.
Because you could "breed-lock" the rare events and legendaries and make them unable to breed at all but you can make the things that normally breed in the games able to breed.
Im pretty sure limitations have been set on things before and this isnt any different.
Anyone who disagrees may state their disagreement, of course positive feedback is welcome as well.
Ok so you just find a wild pokemon that you want, click Battle, pick what Pokemon to fight it with, weaken it a bit and id recommend using Ultra Balls for semi-highest catch rate( except ofc a master ball )