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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.
Greenbank
No because the bike is making less proportional difference as your weight increases. Take it to extremes to make it clearer, ifyou weighed a ton the difference in bike weight compared to total mass would be negligible, if you weighed 1 kg the bike weight would be hugely significant.