Some flawed logic there I think F3G. There may or may not be some aircraft out there which would prove your logic, but as far as airliners as concerned :
The approach speed is not the deciding factor, and I'd be very surprised to find a 737 requiring more LDA than a 747, unless the 737's flaps and brakes had failed
The major factor in LDA is how much is required to dissipate all that energy, and a circa 200 ton jet has a lot more momentum than a 50 ton jet, even if it is going slower.
For reference, compare here :
737 perf to here :
747 perf
(Acrobat docs)