Not quite so fast. 20 is an American style bung hole auger, developed in the late 19th Century. 19 is everybody else's bung hole auger judging from the size (same as the American style). Well, not quite everybody else -- there are a number of styles, but no other has the twist bit to start the hole. A lot of tapered augers and auger bits are built just the same. Tap augers, certainly look like this (I have three of these). Some have a twist at the point to screw into the wood and begin the hole, just like a gimlet. And some were made to chuck into a brace. Some of these latter have the same tips as spoon and quill bits.
There are bung hole reamers, but a reamer is a shorter tool entirely. It has a tapered body with a blade set in rather like a spoke shave.