Cute YouTube video! My feeling is this...You should try to go to all of the effort that you can to deliver a "perfect quilt" to the LAQ. Measure, square up, etc. But let's face it, NOBODY quilts a "perfect quilt." NOBODY! A LAQ should have a bit of tact and gentleness when letting someone know that their quilt is wonky and if it's minor, then just let it be and deal with it as best that you can. If it's majorly flawed, then kindly help by showing the piecer how to fix it properly, so that you can quilt it for him/her to look its best.
Afterall, it is a hand made item and not a cheapo-made quilt done in some foreign country on machines. It's going to have some flaws and character.