Breeding Two Tamed Horses Should Get You a Tamed Horse

I play on Bedrock, so I have no idea if this works in Java edition, but a mildly frustrating aspect of horse breeding is that you have to tame every horse you see. Even the children of two already-tamed horses. 

I really think that it would be nice that if I bred horses, the child would trust me. All other tame-able mobs work like this. This would be an easy change and add less hassle to trying to make a stable.