Follow up: Well I’m still contending with the issue. The manufacturer has been very slow to return calls and today I finally was able to put a parts request in although I have to wait to get a quote back in a few days it’s a painstakingly sloooowww process. In the interim I removed the compound slide and installed a machined piece of 4140 that has removed .22mm or .0085 so it has lessened the taper by 50%. Rather than two sheets of paper thick of taper it’s now one. It’s still too much for some parts I need to make that slide together. The next thing to do is to replace the y axis lead screw and nut. If that doesn’t fix it then a new carriage top. If that doesn’t work then I will call a local repair shop to come out and see what they can do. I suppose the lead nut could be moving that much under load it’s really hard to tell I cannot get anything to indicate that tells me I’m having an issue. I did cut a piece of tool steel and a piece of 6061 and both tapered identically so that was a good sign I suppose that it’s not affected by material and it’s a mechanical issue. After all this I think it’s time to upgrade to a 16” lathe if after a year of use we are wearing these parts out this fast. I would hope to get 3-5 years before replacing mechanical components.
Turning a taper should not be affected by the cross feed lead screw or nut. Nor should the tailstock be the cause if not using the tailstock center.
Turned parts will tend to have a slightly larger diameter at the tailstock end, the amount dependent upon tooling geometry, condition of the cutting edge, the depth of cut, the material, and the diameter of the stock. Since the tailstock end is smaller in diameter, this isn't the cause of your prob;lem
Aside from that, there are only two conditions which will cause a turned taper. The headstock is misaligned or the lathe bed is twisted. The effect of headstock misalignment is fairly obvious. Rotating the headstock in a horizontal plane will bring the part closer or further from the cutting tool as the carriage moves away from the headstock, depending which way it is rotated. Some lathes like the Sherline actually rotate the headstock to purposely cut tapers.
The carriage rides on the vee way at the front, being prevented from lifting by small plates at the front and back of the carriage that ride on the under side of the ways. The vee way determines the distance of the cutting tool to the spindle centerline. If the bed is twisted, if corkscrews which will raise the front edge of the carriage and drop the back edge or vice versa. Since the cutting edge is several inches above the pivot point, the effect is to move the cutting edge closer to the spindle axis. The effect increases as you move away from the headstock causing a taper to be cut.
There is also a slight shift in vertical position of the cutting tool which moves the cutting edge up or down depending upon the direction of twist. This effect is usually minor compared to the lateral movement although it will increase if the cutting edge is significantly lower or higher than the horizontal plane though the spindle axis.
By the same token, if the headstock were rotated in a vertical plane it would have a similar effect, raising or lowering the toll relative to the spindle axis as you moved away from the headstock.This would be extremely unlikely unless the headstock was removed from the ;lathe or there had been a severe crash.
Considering that the lathe had been performing satisfactorily in the past and that you have not seen any serious change in level and the amount of taper that you are experiencing, I would suspect the headstock has shifted. It is possible that the mounting bolts were not tightened sufficiently and a crash could have caused a shift. In any event, I would check that first. I would position the carriage close to the headstock and lock it in place. I would mount a faceplate with a small boss about half the cross feed travel distance from the centerline. Mount an indicator on the crossfeed and rotate the faceplate so the boss is at the front and more or less horizontal with the spindle axis. Zero the indicator on the boss and mark the contact point with a Sharpie. Rotate the boss to the rear and move the indicator with the cross feed to intersect the mark on the boss. A difference on readings would mean that the headstock is not perpendicular to the cross feed travel and, by inference not parallel with the ways.
There are some caveats. The assumption is that the carriage cross feed travel is perpendicular to the carriage ways The second is that any degree of twist is not affecting the measurement. This is probably a safe assumption since the effect of the twist is least with the carriage near the head stock.
Here is my faceplate modified for this measurement. The boss is a bolt with the head slightly domed and polished.