Always tough from pics but I don’t really see a gap difference. I think the DS cup is less flush than the NDS cup making the gap look different. That said, there does seem to be a quite a bit of exposed flat which is probably due to difference in taper. As long as the arm is far enough (gotta use the “far enough wrench”) on the spindle, it should be fine. Hopefully the mechanic was qualified to make this call.
As mentioned above, the arms will be more outward than if they were further down the spindle, creating a wider Q factor. I like a narrow Q so this would probably drive me nuts. Others might never notice. YMMV