For pistols and AR length cartridges? If you shortened the three risers supporting the turret head along with the top of the index rod and ram I think it would work well. You would still have that compound leverage at the top of the ram travel but you could adjust the handle so it was roughly horizontal and keep the same nearly vertical handle position while seating a primer. The press would be much less taxing to use then.
Lee could make these changes easily. Doing it at home would require removing the shell holder portion of the ram which looks to be held in place by a small roll pin. Then the top of the ram would have to be shortened and machined to accept the shell holder again. That would be somewhat challenging. We have short action rifles, why not a short action press?