NOBO from cottonwood lakes; Whitney question

I have a permit beginning August 3 from cottonwood lakes, exiting at happy isles two weeks later. I am on somewhat of a time restriction (not too severe, but need to be mindful of detours)…How essential is it to basically add a day to veer off at Crabtree to summit Whitney? Basically is it at all overrated because it’s the highest peak in the lower 48, or justified to go out of my way to summit it? Sorry if this is a silly question, just want to get other opinions on it…TIA!