Update: My Lulzbot Mini now successfully wipes the nozzle in the right place!
Yes, replacing the 1.0.3 Y axis motor mount plastic part with the 1.0.4 part and (importantly) installing that part according to the 1.0.4 instructions, fixed the problem for me! See my lengthy note on why, at https://forum.lulzbot.com/t/y-axis-0-endstop-question/4486/8
One more tip about replacing that part: I posted a video of how to insert the heat-set inserts: https://youtu.be/yZXz131e7fs (the sound is pretty bad, so you might want to turn on the Captions).