The difference is, in the current ruleset, the LGL is constant, not random number stuck to how many stocks you have left.
Case Scenario - Under your Ruleset:
Time is running out. Player has 3 stocks and Player has 2, Player 1 is Falco and Player 2 is Samus, in this MU you will see a lot of camping so it's not too hard to imagining it going to time so follow me here. Player 1 has past the LGL for 3 stocks because Player 2 has been edgeguarding well but can't get the kill (Samus and her killing problems). Only way for Player 1 not to lose is to eventually SD so he can stay under your legalized LGL rules.
This is non-competitive am I wrong? Why should Player 1 be punished for keeping the lead or forced to kill himself which could possibly change the momentum of the match he had and make him lose the match when he was clearly in the lead beforehand of killing himself?
Same Case Scenario - Under Current Ruleset:
Time is running out. Player has 3 stocks and Player has 2, Player 1 is Falco and Player 2 is Samus, in this MU you will see a lot of camping so it's not too hard to imagining it going to time so follow me here. Player 1 is pushing 15 legde grabs because Player 2 has been edgeguarding well but can't get the kill (Samus and her killing problems.) Player keeps the lead by camping (that does not have to include grabbing the ledge but even then he has lead way to grab the ledge again 35 more times) and times out the clock. Player 1 wins.
________________________________________________________________________
Both Rulesets have their faults but answer this.
Which looks more competitive, trying to stop some one ledge camping with a constant LGL? or on the other hand going back to your suggestion, having to suicide because you need to keep in bounds of a LGL that increases with less stocks, possibly giving up your momentum of the game?
Now one could argue that Ledge camping is a strong tactic but is really only a different form of camping, it's not broken (unless we are talking about a character whose name won't be mentioned). So do what do you want to do ban camping? Extorting some characters best traits and basically derailing the use of have a projectile? I'll this paragrah here because I don't want to turn this into anti-ban X character vs. pro-ban X character thread.