Well, pedantically, it's weight AND wing span.
Short-span planes don't respond to gusts as much as longer span planes do.
The C-130s and PB-4Y water bombers that collapsed in mid-air are examples of this.
Not even designed for the environment they were being used in.
The BAC Jaguar with its short wings is intended to fly in turbulence.
F-104.
etc.
For our toys however, it's getting the darn things down that wingloading is most important.
(takeoff are optional... failure to take off is a safety feature in many instances.. but landings ar mandatory!)
High loadings land FAST!