Most veterinarians doubt the existence of a syndrome known as “whisker fatigue”, but it is important that pet owners understand the structure and function of cat whiskers, and that they treat their cats’ whiskers with respect. And, yes, it is possible that some cats have particularly sensitive whiskers.
It makes sense that good cat care includes observing cats’ eating habits carefully, and if they seem to be averse to eating from narrow, high-sided food bowls, perhaps owners should consider offering food in a different type of receptacle such as a “bowl for whisker relief”, and allowing them to drink from a water fountain, even if the theory behind this is highly debatable.