One of the primary reasons folks use a Load balancer is scalability with a secondary driver of maintaining performance. We all know the data exists to prove that «seconds matter» and current users of the web have itchy fingers, ready to head for the competition the microsecond they experience any kind of delay.
Similarly, we know that productivity is inherently tied to performance. With more and more critical business functions «webified», the longer it takes to load a page the longer the delay a customer or help desk service representative experiences, reducing the number of calls or customers that can be serviced in any given measurable period.
So performance is paramount, I see no reason to persuade you further to come to that conclusion.