Distal doesn't necessarily move the cop towards the hilt. It will affect changes in points of rotation (hilt and forward points of rotation). Some swords cut better to either side of the point of percussion, it depends on the cross section and profile of the blade. Ideally, one may prefer a neutral feeling sword. If one is simply chopping heavy targets, radical distal tapers may not be the best bet for short blades. A basic machete is a fairly neutral cutter, with zero distal taper. My longest medieval type sword has negligible distal taper but the long hilt on a long blade works to make it lively in two hand and not extreme in one (Del Tin 5157). I used to love my A&A Black Prince as a superior can opener with some cutting ability but a counterpart Albion XVA can dance circles around it with better cutting. The difference? The Albion has a good amount of mass distribution through distal taper. In that case the cutting ability of the Albion is closer to the point than the A&A Black Prince. The A&A still a better can opener, which is what they were meant for, finding openings in armour. The Albion a better overall fencer with a blade thinner at the foible.
In the end, it just depends
Cheers
GC