If you have a lock with no keys, it is secure, since it can't be opened. As soon as you have one key, the lock is less secure, because now the lock can be opened.
No, not really. Your simplistic example fails to acknowledge that your same-site "lock with no keys" model rendered same-origin-policy completely unusable in projects that fall beyond the scope of a personal hobby project, which left the whole world with no alternative to turn it off. CORS recognizes the absurdity of implicitly assuming that the same origin is the only possible and conceivable safe origin, or even that a site has a single origin.
Therefore, your comparison would actually be between an old lock which was no longer usable and thus forced everyone to go around with no locks, or a lock designed around one of the world's most basic requirements and thus made it possible for the old lock concept to be applicable.
If you offer a website with an API then CORS is an enhancement in that you're helping protect users from getting owned or hijacked. Alternatively if you can't stomach the risk, you could take down your API, which is about as useful as solving a math equation by multiplying both sides by zero.