LCPW cuts two ways here, because there are two universal quantifiers in your claim. You need to look at every possible bounded utility function, not just every possible scenario. At least, if I understand you correctly, you’re claiming that no bounded utility function reflects your preferences accurately.
It seems to me that expanding further would reduce the risk of losing the utility it was previously counting on.
LCPW isn’t even necessary: do you really think that it wouldn’t make a difference that you’d care about?
LCPW cuts two ways here, because there are two universal quantifiers in your claim. You need to look at every possible bounded utility function, not just every possible scenario. At least, if I understand you correctly, you’re claiming that no bounded utility function reflects your preferences accurately.