What would happen if Riot removed Doran's items?

I remember back in S1, 2, and 3, I used to look at my allies starting items and go "hmmm, okay, interesting idea." Now it's just "Dorans, dorans, dorans, FQC starter or Relic Shield, and Machete or Talisman." I'm not feeling the variety that Riot is trying for with Corrupting Potion and Dark Mantle. That got me thinking: how would this game change if Doran's items just up and disappeared?

Now, I'm not making any propositions yet; rather I'm looking to discuss with you guys how the game would change or have to change if all three Doran's items disappeared. Are the other low cost items balanced enough to not break the game (long sword vs. amp tome; would boots become everyone's go-to)? Would some other items have to come down in price to create more opportunities (null-magic-mantle's price has been discussed before)?

Also, is anoyone seeing an abundance of Corrupting Potions or Dark Mantles that I'm not? Are they creating enough variety that this issue isn't actually a problem?