Some of the spells like Cordon of Arrows don't really make sense as a reflex save - why would arrows flying at you from a spell be any different from arrows flying at you being shot from a bow? That's why I'd simply change the spell, not add a new save.
I wouldn't add the dexterity save proficiency because for most characters that's already going to be counted in as they are wearing lighter armor and benefiting from dex to AC anyway. I'd rather not double dip.
It's not a bad idea, and it certainly feels more like the person being hit by the spell is an active participant I'm just not sure it's worth making it a house rule. If I were to change the rules, I'd probably give people in heavy armor some kind of bonus to saves vs spells where it made sense that being covered in metal would protect them from some of the damage. But that gets finicky. I could see getting a bonus vs fireball but then what about lightning bolt? A penalty?
You can always try it and see if your group likes it.