Pyromancer Sorcerer

I'm admittedly surprised that D&D hasn't created a Pyromancer subclass for the Sorcerer.

While Dragonblood Sorcerers can tap into fire powers, it's not the same as being a true pyromancer. In my mind, Pyromancers would have similar characteristics to Storm Sorcery, but with fire. I'm not sure what kind of effect they'd have should they cast a level one spell or higher, like how Storm Sorcerers gain the ability to fly without triggering opportunity attacks. Maybe, everything in a five foot radius from the caster takes fire damage, feeling the heat coming off the spell, and have to make a Con or Dex save in order to take half the damage. Or maybe that could be saved at higher levels, similar to how when a Storm Sorcerer takes damage by a melee attack, so does the attacker. And of course, they could gain resistances to fire and cold damage at Level 6 and then gain immunity to fire at Level 18.