Probably not a good idea to use examples from a different, unrelated book series -- the rules for every magic system are going to be different. Hell, I wouldn't even use a semi-related series, since the magic in, say, Codex Alera is largely incompatible with Dresden's rules.
In Dresden, there is a very clear, delineated separation between what Evocation can do (move energy around in large, relatively blunt ways) and what Thaumaturgy can do (basically anything more subtle than that, if you have the power available).
It's just not a system where being able to burn things really effectively translates into being able to heal things really effectively.
So yeah, I'm with Sancta here -- the refresh would be better spent on plain Thaumaturgy with a fire-flavored specialization or perhaps some Sponsored Magic from a phoenix or something.