Turret Aggro

So playing earlier today, I noticed that turrets will only target the first champion to attack friendly champs within their range. If the target enemy leaves, it forgets all about the other enemies that were blowing holes in its allied champ.

I feel like towers would be much better if they actually targeted enemy champions that attack allies like they're supposed to. Let's say Braum, Jinx, and Zed walk under your tower. Braum punches you, drawing the turret's aggro. Then Zed and Jinx attack as well, killing you under your turret. At this point, Braum has taken 2 or 3 shots, and walks out of range. The tower completely forgets how Zed and Jinx brutally murdered you right in front of it, and is content with chasing off only Braum. It keeps shooting at minions while Zed and Jinx take it down, watching bolts of death fly right over their heads as they graffiti your grave.

It would be interesting if turrets kept a log of champion aggression and kept attacking aggressive enemies even after the first attacker leaves their range, actually giving the turret a chance to defend itself from a tank-carry combo. You could still just walk out of range to lose the aggro, but there would be more of a consequence for murdering someone right under their "defenses."