The Truth About Refunds

I should start off by saying that I have no personal opinion concerning the issue in question. I'm merely stating the truth of the matter.

From League's official Terms of Use:

4.3. Do I “own” the Virtual Goods I unlock? (No. What you “unlock” is not the virtual good itself, but rather, a qualified right to access it in the Game.)

You have no ownership or other property interest in any of the Virtual Goods you unlock, regardless of whether you acquired access to those Virtual Goods using Riot Points, Influence Points or Hextech Crafting. Virtual Goods have no monetary value. You can’t redeem them for cash. You can’t obtain any refunds for purchasing Riot Points or Virtual Goods, except as expressly permitted by us. You can find our current content refund policy here.

We have the right to delete, alter, move, remove, or transfer any and all Game Content—including Virtual Goods—in whole or in part, at any time and for any reason or no reason, with or without notice to you, and with no liability of any kind to you. We don’t provide or guarantee, and expressly disclaim, any value, cash or otherwise, attributed to any data residing on servers we operate or control, including any Game Content attributed to your account. The sale or transfer of your right to access certain Virtual Goods, Influence Points, Riot Points or Hextech Items may only be conducted via services approved of or provided by us, if any.

If you have a problem with it, take it up with Riot, not me. I'm not saying your arguments aren't justified and therefore not worth my time; only that you'd be arguing with the wrong person.