Attaching the drill to a length of same size round stock is important to eliminate "run out". I start w/ a length of drill rod, face one end, center drill using the lathe's tailstock , then use a drill that's 1/64" undersize and finish w/ a reamer.
An inch or so of the drill shank is turned down in a lathe and is a light press fit w/ the hole in the drill rod. Both the outer edge of the drill rod and the shoulder of the drill have a 1/32" chamfer which accepts the high temp silver solder which holds the 2 together. The excess silver solder is filed flush and polished. Have checked the "runout" of these finished RR drills and it was w/in a .001.
After building one LR and using a RR drill as described above w/ a flat bottom "point", the drilled hole came out exactly as planned. Some weeks later I visited Fred Miller and looked at his RR drills and they all had flat bottom "points"...same as mine. Fred had drilled 1000s of RR holes w/ these drills.
As was mentioned, some 4 fluted end mills have a center relief which doesn't cut, have limited chip room and seeing the end mill's shank is hard, an inch or so has to be ground down accurately to fit into the hole in the drill rod. A butt attachment of the drill or endmill to the drill rod w/ weld or high temp silver requires a perfect alignment which can be difficult to achieve. I've never used an endmill and prefer juts a twist drill w/ a flat bottom "point" which has plenty of room for chips. Never used a "store bought" RR drill, but if I had , the runout would have been checked.
My flat bottom drills don't have a "point" and have always started correctly as evidenced by the final location of the RR holes. There are many different types of RR drills and some do the job and some others don't.....Fred