The most likely selective advantage for the difference in body shape between the caterpillars that resemble oak flowers and those that resemble oak twigs is:
Looking like their food source lets the caterpillars blend into their surroundings, reducing predation.
This camouflage helps the caterpillars avoid detection by predators, thereby increasing their chances of survival. Caterpillars that are better camouflaged against their specific environments (flowers in the spring and twigs in the summer) are less likely to be eaten and can grow and develop more successfully into adulthood.