Should turrets increase in strength the closer to the nexus they are?

Riot has finally addressed the issue of towers falling faster than dominos lined up in a row, by making respawn timers less harsh in the mid game. However, there still remains one problem. Towers are really in desperate need of a buff.

One main issue is that towers don't do enough damage. Turrets neither do enough initial damage or stack up enough damage in order to actually be a deterrent to tank champions like Cho'Gath and Garen. Another one is that turrets don't have enough health, specifically the inner turrets.

So, to help stop the tower diving problem the answer is simple. Make the progressively stronger in health and damage the closer to the nexus the turret is. In the early game turrets are great deterrents but as mid and late game come along the fact that all the turrets are essentially the equal to each other means that while the champions are getting stronger and tougher, the turrets are not getting progressively stronger as a champion approaches the nexus.

In layman's terms, the outer turrets should stay the same, inner turrets should have health and damage increased, inhibitor turrets should be stronger than the inner turrets, and nexus turrets should be the two second strongest turrets after the fountain turret. This would help out with tower diving as now there is an actual threat to champions that decide to do it, and would also allow teams to not lose the game even if they did well all game because the enemy team got lucky once.

I'd like to know what you guys think of this idea and please upvote if you think its a good idea, downvote if you don't, and vote in the poll on wether or not turrets should receive this buff.