I fail to understand what you mean with plugging a mini-DIN plug "off-center". Please explain!
I find it easy to use by feel alone. You can feel when the sleeve fits the socket. Then you can rotate it in the socket until it can go all the way in.
You’re reaching around the back of a computer and you can’t see the exact location of the mini-din jack, you have to angle the plug normal to the plane of the computer back (more or less), you have to center the plug (translate the plug horizontally and vertically) to align it with the jack, and you have to rotate it so the the indentation (and of course pins) align.
But… My old computers all had a slippery steel plate surrounding the jacks, and the jacks had plastic centers aligned flush with the plate, having the plug overlap the steel plate never felt terribly different from only having the rotation wrong.
I find it easy to use by feel alone. You can feel when the sleeve fits the socket. Then you can rotate it in the socket until it can go all the way in.