I think it would be better to troubleshoot the print/cut issue. I'm not sure if that printer measures the pinch rollers or the media itself but if it works like older Rolands, you should be able to just move the right pinch roller to the left a little and it will measure the material slightly smaller but the origin will also move a little to the left. Other than that, I don't know of any way to make it automatically change the base point every time. I'm pretty sure the firmware is what would need to be adjusted but good luck with that.
What were your print/cut issues?