That's where the problem lies. If you have a machine screw with flat-head, the inch-sizes take an 82 degree conical countersink (and metric sizes take 90 degree conical countersink). In wood screws of flat-head and oval-head types, it's (presumably) always 82 degrees. So, in assembling a furniture item, if you have the proper countersink for the screw head, that head bottoms against the work all at once, and the clever craftsperson on the other end of the screwdriver can tension it properly. If the bugle-head makes contact, it'll be first at the small 'bugle' flare, or maybe at the rim alone, but never on the full face of the countersunk hole. Because it's not the right SHAPE to contact the full cut face of the countersunk hole.
The only way to tighten the screw is to crush some wood at the head.
That's not optimal.