Eden Tosch of The Ayurveda Experience argues against eating seedless fruit (such as seedless watermelon, grapes, lemons, tangerines and oranges).
Eating the fertile, nutritious and rich part of a plant (or animal) will make us fertile and nourish us well. It is not a great leap to say that eating an infertile plant will affect our fertility and tissues negatively.
The Raw Food Girl blog takes up this claim:
Seeded fruits are pregnant with fertility and have the potential to reproduce whereas seedless fruits cannot reproduce. Seeded fruit has "Life Force" and when you consume the fruit you take in that energy source.
The question has also come up on BodyBuilding Forum.
Does eating seedless fruit cause infertility in humans?