I'm not trying to undermine the strength of SCH, and of course I might be wrong, but I can't imagine that situation in Turn13 given both have the same skill and capable group.
Still, like Grishlain said HP/S (and I would say overheal to an extend) is not really a factor to judge by. Even after counting out possible parser errors it's heavily reliant on overall group performance as well and you can only heal as much as damage is incoming.