I never had any problem with the actual tapping,just that there was no way to prevent the unit from falling out on the return stroke. The unit in question is a K3MT3,from Chronos,I seem to recall,and just looking again at the instruction sheet which came with it,there is a picture which seems to show a screw fitted to the quill of the drill to prevent what they call "fell down" [their words,not mine ] In fact one is advised to fit such a screw,but I dont think it would be too easy to drill the quill in the first place.. The fact that someone else had the same problem would suggest that it is not unknown.
Regarding wrong hole sizes,blunt taps ect,give me some credit,I,m a bit long in the tooth to make that mistake.
Re the tapers on both my drill and the tapping unit,all I can say about that is that over the last 30 years no MT drill bit or chuck has ever fallen out of the machine ,even 1" drills ,not bad for a cheap end of the market Far East machine !
The taper on the tapping unit was so good that when I fitted an open end sleeve to it,we had great difficulty trying to remove it,so good was the fit. In the end we had to press it out!
Of course,not all tapping heads are the same,some are better than others,like all things,and the fact that I managed to correct mine means that it does the job. It just seems to be overkill to have to use a bigger machine to do such a simple job