Advantage of two bishops doesn't exist until a certain level of technique and endgame ability is reached... I really believe that. IMO when GMs gush over "oooh, the bishop pair" just ignore them because as you pointed out there are openings where you give it up very early and there's no way you can see for yourself why this is so.
That said, there are pros and cons to every move. A very common idea is you give up a bishop to damage the pawn structure. You see this in Frenchs, Caros, Nimzos, Ruys, Sicilians... probably every opening lol.
Another is because you're planning on putting most your pawns on the same color in a closed position with static structure, so that bishop was going to be your worst minor piece, and so you trade it off early even if it doesn't damage the pawn structure.
Other times it's to weaken something in the enemy camp. Like you said, the king's knight is an important defender, so that's one reason in some lines. Other times it's to weaken the central squares the knight defends. Maybe you're attacking a central pawn or trying to push one of your pawns into the center, post a piece there, or just gain more central control in general.
Hi guys!
Something I've been wondering is why is bishop takes knight played for white? Besides the Ruy Lopex exchange variation Lol
I was assuming it was done so that when Black castles they don't have the knight for protection of the castled king. However I always hear and agree that having two bishops vs one is a big advantage. Confused Lol