I fail to see the purpose. If you can heal x amount of damage per day, why not give the character x more hp instead?
Beware the fatbeards if we see Healing Surges in 5e!
PS. I just don't like that automatic entitlement to immediate healing that 4E hands out.
I don't play 4E, and I don't use the healing surge mechanic in my house rules, but I actually do want healing surges in 5E.
I think it's a mechanic that if included in core, is still very easy to just ignore if one doesn't like it.

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.