A Free start off champion for new players!

Alright! So I recently got a few of my friends into league of legends, and of course they ask what champion they should play. I went on and explained to them a few play styles, and what specific champs I think they should play, but overall, save up for a champ you think looks the coolest. We've all been there before, and I remember my struggle to save up thousands of IP just to get that one champion, but overall I did not have the best experience forcing myself to play the free champions that I had no interest in just so I can try the weird fox lady with 9 tails, but when I did get her, I couldn't stop playing her. However now that I look back, I felt like I could of had a better experience if I got to have her before hand.

I think that maybe after a certain level (maybe lv 10), You should be rewarded with one free champion. I get that the whole Idea right now is that you need to build more experience with the game so you know your play style, which is why I propose the idea of giving a champion after a certain lv. That way, newbies will have a better first time experience.
After all, what makes league so brilliant is the champion concepts and personalities.

And yes, I know the free hextech box gives you Ashe and Garen, but that's quite cheap if you ask me. Even if they don't give them to you, two 425 IP champions that were already free pre lv 5 will be either be bought or forgotten early on.