The BHP slide certainly does have a bushing and it is used precisely because the larger hole makes the machining of the interior of the slide a lot easier than if the front hole were only barrel size. The Radom has a bushing for the same reason. My answer was correct, I just didn't go into details.
For front sight attachment, the hole for the tenon was drilled right through the bushing, which also helped fix the bushing in place. For the dovetail front sights, the same thing is accomplished by a rivet driven through a hole that extends from the bottom of the dovetail through the bushing; the head of the rivet is covered by the front sight.
(Unlike the 1911 type, the bushings on the BHP and Radom are permanently assembled by swaging and further fixed by the sight tenon and are not meant to be removed except at the factory level. One illustration taken from a Canadian army manual shows the bushing threaded in, but that is almost certainly an error, as I have never seen a threaded bushing and the parts diagram and other illustrations all show an unthreaded bushing.)
I never worked at FN, but I have no doubt they first drilled the slide forging almost all the way from the front, then did the basic breech face machining with an end mill the size of the hole in the front of the slide. The same tool may have been stepped to make the round cut for the head of the cartridge case. Then they used two other mills which they were also inserted from the front, but which were smaller diameter than the hole. The first cut the cartridge base hole (or maybe cut it through) and the second smaller one cut the half moon at the top for the small alignment lug on the barrel. The slide would probably have been moved against the cutters rather than vice versa, as this is easier to set up. I am sure guides were used to make sure the smaller cutters didn't whip.
HTH
Jim