Well, it’s obvious to me.
‘Experts’ have discovered that if you cook carrots whole rather than cut up, then they lose less nutrients. Of course they do! If there is less surface area for water to come into contact to, thus preventing less soluble vitamins from being lost, then of course they will be more nutritious.
By the way, have you ever had organic carrots straight from a farm, not these pre-packed economy carrots that are all exactly the same length and width? If you haven’t then may I suggest you have a try this weekend. Then you’ll really know what a carrot should taste like. Amazing.