You are viewing the problem wrong. If you don't want to pay and you are a big fish, you just tell them not to ask. VC world is based on reputation and politeness. Causing a big stink is not a good look for anyone. If you are a big LP and you say, look buddy, we are taking this quarter off, what do you think is going to happen?
What would happen is a revolt of the other 200+ LPs who all collectively represent a much larger fraction of the fund than any one whale because they will have to cover for the shortfall; not to mention other whales who may see things differently.
On every capital call there is a statement that lists the total amount and the pro-rata and if the ratio there would suddenly change that would be a breach of contract. As an LP you know up front how big a chunk of the total fund your commitment will be with possible upside if the fund is oversubscribed and if it is undersubscribed it either won't launch of you will be made aware of the change and given the option to walk away.
To see the fund effectively shrink post launch and the shortfall pushed onto the smaller LPs is ridiculous, especially if LPs were not previously told that this could be the case.