And, Garen wins top Lane. Volibear becomes a super sustainable champ in top lane. Vlad never has to worry about this either, sure he won't regen health passively, but his lifesteal makes up for it. Mundo becomes damn good, as even if he loses a trade he just cleavers a few minions. Aatrox suddenly becomes a god because of lifesteal keeping him in lane. Akali becomes even stronger in lane. ADC's don't really change. Kass and Xerath can now know that the enemy has to recall when they are OOM, while they get to stay in lane and farm up because of their abilities to regain mana. Junglers like Warwick become even more dominate, while Ivern becomes literally useless as he can't regen what he needs to mark camps. Anyone who has their own heals or abilities that regain mana suddenly get an even more noticeable advantage, and a champ like Tryndamere suddenly doesn't have to worry as they poke down the enemy and the enemy has to recall, meanwhile Tryndamere can farm up and heal off his Q, as well as never worry about mana issues.
I mean sure, once everyone has 2 or 3 items, this matters less, but it's still a HUGE advantage to those that have stuff in their kit that already gives them health and mana.