I am not talking about cutting stems at all, but rather waiting for the fruit to start swelling a bit after fruit set, and then removing the smaller fruit as well as any bug damaged fruit; literally thinning the fruit. If you have never seen it done, you will almost certainly be inclined to leave more on the tree than you should if you are chasing fruit quality. As far as the king bud goes, I don't remember that term, but I was simply taught to look first for the largest, and then for the best positioned of the fruits, imagining them swelling up to full size, and ensuring that they won't physically press on each other.
I seem to recall both stonefruit -peaches, plums, etc.- and pommes -apples and pears- making clusters of fruit that seem to emerge from virtually the exact same point, quite different from how drupes, and aggregate drupelets - grapes and berries- which clearly have a larger terminal fruit, and a linear-ish arrangement.