An idea for Cho Gath/Galio reworks (with new mechanics)

I'm not going into a debate on whether or not these champs are already balanced. I just had a couple ideas that seem like they could create interesting interactions that would tie into the lore of these two champions, while creating a new function.

So....... right now the only champ that outright interacts with turrets is . Her shield can enhance a turret's attack, and shield it from damage.

Well.... Galio is a "Protector" of walls in his new lore.

Cho Gath on the other hand is a ravenous destroyer who has infinitely scaling HP.

What if Galio could sacrifice a portion of his Max HP (Permanently for the duration of a game) to Heal/Rebuild turrets? What if Cho gath could permanently sacrifice a portion of his Max HP to infest a turret and cause it to take damage over time (small increments)

Things I've considered in this suggestion:

1. They would need slight balance adjustments to compensate for such a change.
2. Galio doesn't have growing HP. it would impact his presence on the field to sacrifice HP. But, healing turrets would be extremely impactful, making the matrydom tradeoff fairer. I personally see it as the Sentinel giving a piece of himself.
3. It might stabilize Cho Gath's late game presence to have such a function, risking reducing his tankiness/ult damage in exchange for passive Turret HP damage by proxy.

I'm not going to go into details of subjective cooldowns or at what level the function could be established. I just think having turret proxy destruction/healing would be interesting aspects, and these two champions would probably be the two legitimate candidates, and I don't see new champions as being the solution for implementation. Even if it could only occur 4-5 times for Cho gath per game, or 6-7 times for Galio, it could be an interesting aspect.