Introduce myself.
Support might be a little swamped right now or backed up due to the holidays. I'll follow up with them to address your issue. For what it's worth when the unit has correctly sized bearings the position of the carriage should be very repeatable. I have a 20 month old and he's always bumping my two printers at home and besides pausing jobs by pressing the front panel button he hasn't messed up any of them.
If you are printing really small parts, be aware that the machine's reliable minimum feature size for sharp edges is about 2mm. For example, I have found that printing small cubes smaller than 2mm results in rather rounded off corners.
I'm with you on the lateral stiffness, repeatability and accuracy. Whether it's a milling machine or a 3D Printer. It's super important that the X,Y and Z positions are true and given a reasonable external force to the machine, the hot end nozzle should return to the original position. The MOD-t as designed will do that.
What you are reporting sounds like a pathological issue.
I'm out of the office right now but when I get back next week I'll pick this back up and we'll investigate and make it right.
If I bought a 3D printer that could not place its print nozzle in the right spot I'd be upset too.
Regards