Turrets don't need more damage, just armor pen and defensive stats
I agree that people can dive them too easily if they have armor, but diving is a viable tactic whether you like it or not. People should be able to dive turrets. The problem is that people can dive turrets for way too long. So adding some armor pen to make it harder for people with only a little bit of armor is fine. Making turrets do just more damage is going to have the unintended consequence of fucking over half the champions in the game when they get in a little to attack a turret or something and then take a shot from dealing damage or running out of minions. They're going to lose half their health from a single shot when they feel like they weren't even in range or deserved a tower hit in the first place and that's going to give a huge advantage to the enemy laner for free.
The real problem is how quickly players take turrets. Just add defenses and don't make bot or any turret weaker than the others. I used to main jungle and I liked the idea of being able to decide what was best for your team by ganking mid/top/bot or farming. Now there's only one answer.