Hi Pat -- I have both a cartesian (Mendelmax 1.5) and an h-bot (UConduit). I'm pretty happy with the h-bot so far. As far as accuracy, the only disadvantage or loss in accuracy to an h-bot (that I'm aware of) is gantry twisting. Basically, in order to move the carriage back and forth, the force to accelerate the carriage + friction in the carriage bearings causes slight forces to be applied on the x-ends in opposite directions. This means that there is backlash and carriage shifting that depends on the maximum angle that the linear rod can move through the x-end.
That is why I used two LM8UU bearings on each x-end and spaced them as far apart as I reasonably could (actually they could go slightly farther apart if need be). I have attempted to minimize the angle of the linear rod through the x-end, but LM8UUs are not super-precise. I think a reasonable upgrade would be to use high tolerance frelon-lined bushings (Thomson or PBCLinear) and paired with the correctly spec'ed linear rod. At this point, I have not observed problems in the positional accuracy of the h-bot that would warrant an extra $60 in bearings.
Realistically, corexy is no more complex than a cartesian bot. You can make lines by moving a single motor -- the axes for this motion are just rotated by 45 degrees. The reason NOT to use this "natural" coordinate system is that your build platform would be diamond shaped. By performing the vector transformations discussed on
www.corexy.com, the h-bot build platform can be matched with the natural coordinate system of the cartesian printers, so things like the slicing platform shape. If you want to make straight lines with single motor motions, rotate them by 45 degrees when you slice.