I have two friends who are 5' tall and 6'5" tall. The 6'5" male, while still being quite fit, comes in at a solid 210-220 easy I'd guess, which would (under a 'weight only' policy) incur a surcharge for him. The 5'0" female has a little extra weight probably being about 130lbs. She's 90lbs less but more "obese" than the male.
Variations like this would make this type of policy very hard to implement in reality.