Well, no, that's really simplistic.
Skimmed milk has equal protein to whole milk, and even slightly more calcium, potassium & sodium. Vitamins A and D are removed in the skimming process... but are then added back in by producers, so the end product usually has about the same amount.
Pretty much the only noteworthy differences are the levels of saturated fat and cholesterol being higher in whole milk. Yes, those fats may be useful (for instance in processing fat-soluble vitamins). But they're also very very easy to overconsume. Especially in America, with its childhood obesity epidemic.
Do you know the difference between something being allowed and being provided?