This is off the top of my head, and I won't pretend to have thought it through at all, but it just seems giving larger casters bigger spells centered on them is a benefit that should have some cost. It seems like with your version, you could have a caster cast Enlarge Person on himself and then cast Antimagic Field, getting a much reduced Widen out of the deal.
Personally, I think Widen is a little overpriced (but then I've been playing a lot of AE), but that's what it's there for. (I also think "Widen" should be called "Enlarge", "Enlarge" should be called "Extend" and "Extend" should be called something else. Or they should be called "Increase" whatever it increases-- duration, AoE, range. That always trips me up. Still and Silent Spell are named fine.)
Personally, I think Widen is a little overpriced (but then I've been playing a lot of AE), but that's what it's there for. (I also think "Widen" should be called "Enlarge", "Enlarge" should be called "Extend" and "Extend" should be called something else. Or they should be called "Increase" whatever it increases-- duration, AoE, range. That always trips me up. Still and Silent Spell are named fine.)