You're the one who said teams can always match for their own FAs, so you tell us. As a general idea it's part of NBA contract and salary, so why wouldn't it appear in some form or another?
And the advantage isn't minuscule. Look at the number of quality players on min offers this year and try to say that with a straight face. There's too many good guys in that category for the advantage not to matter a great deal. Besides the fact that it doesn't make any sense
What you missing here is that no one seems to like the very idea that a team's cap situation should be the determining factor in landing a player, whether for the min, or the MLE, or whatever. It's not about just about simplicity. I'd rather live with FCFS, even though that has it's own attendant set of issues. My actual preference is to get a tie breaking mechanism in place that makes sense, both as a game mechanic and as a fantasy-based reflection of the real NBA. Basing it on cap does neither IMO. Points is no more or less arbitrary, but does have the value of being a better refection of how a FA would actually pick a team - i.e. it reflects how good the team is and how much paying time he's going to get. It also has the ability to be as detailed and nuanced as we'd like (or as simple as we like for that matter).