In all of my brewing experience, sediment is not full of nutrients. It's yeast. Completely brewers yeast. You are taking a shot of yeast. May even have a bit of a laxative effect. Most grain/hop sediment will be removed during secondary fermentation before it even hit the bottle. Yeast yeast yeast.
Sediment in bottled beer is 99.9% yeast. Know why wheat beer has less sediment but remains cloudy? It's because the yeast used in wheat beers has a low flocculation, which means that only a small amount "settles out" of the beer to form a sediment layer on the bottom. Most ale yeasts have a higher flocculation, resulting in a clearer beer but more sediment.
I have never met a homebrewer that recommends drinking the sediment.
Yeast