Let us consider two launch vehicles - "A" and "B". If "A" has a larger wet mass than "B", does this imply "A" has a higher payload capacity to a particular orbit, from a particular launch site than "B"? Is it possible for "B" (a lighter launch vehicle) to have a significantly higher payload capacity than "A" (a heavier launch vehicle)?
Or is there any fixed rule like "A launch vehicle heavier than the other can definitely lift more compared to the other one"? I think, a launch vehicle having greater wet mass has higher potential energy than a lighter launch vehicle, at the launchpad. By using the law of conservation of energy, I claim the rocket heavier lifts more into orbit than the lighter one. Could you please tell whether I am correct or not? If not, why shouldn't we apply the law here?
Further, are there any medium (heavy) lift launch vehicles lighter (considering the wet mass) than small (medium) lift launch vehicles?
Are there any such examples in real life? If yes, kindly specify them with appropriate quantitative parameters (wet mass, payload capacity, etc.) if possible.