Absolutely. In the case of all 3 plants you just named. Baby carrots, baby beets, and “new potatoes” are all eaten, and all popular. I’ve eaten all of the above. I wouldn’t eat a potato that’s neon green or anything, but I have never seen an inedible carrot. They start off as a tiny taproot and are orange and edible from the start (same with beets, just that they’re purple). All of the above are sold in stores.
Thanks for the info.
I suspected that was the case, but was looking for confirmation.