What if it automatically populated the list of your "close friends" by some algorithm that ranks your overall interaction with them. So you can't arbitrarily add or remove the friends. You could "game" it but only by actually interacting with the person. If they include sentiment analysis on the interactions, then you couldn't "game" it by spamming or being a cyber bully either. You'd actually have to be friendly towards that person.
If I want to person A as a close friend, and they're not active on the platform, that should be allowed. Maximizing interactions isn't the goal, or else we wouldn't limit the feed in the first place