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Sure, but with typical bike (and human) weights the proportion of bike to bike+rider weight only changes very slightly as the rider weight changes.
10kg bike, 76kg rider: Bike is 11.6% of bike+rider weight
10kg bike, 92kg rider: Bike is 9.8% of bike+rider weight~91% (+/- 1%) of the bike+rider weight is still me, even if I lose ~16kg.
Ah, but if I have a lighter bike, it'll always be lighter no matter what weight I am.
Therefore a nicer bike at +3 stone should be just as nice an improvement at -3 stone, no?
Or can fatty's not appreciate a nicer ride?