FFS, I've already been over this. You could limit it to 1-2 players a year, or say, 4 players under contract at any given time, or a $ limit over the actual cap, or any combination of those things.
As for the parity aspect, anything less than a hard cap with 100% player unfettered free agency affects parity. Franchise tags and RFA affect parity.
And your pointing out that a few extra dollars rarely make a difference,well that is just a figment of your imagination, you have zero clue what numbers have come between a FA re-signing with his home team or moving on, just as I have no clue.
This was just an idea to eliminate the player hated franchise tag, expand salaries, and increase team player identity. You may not agree with the idea, which is fine, I just rather you not distort what I suggested.