I don't think a move like this makes any sense from the Twins perspective. Injuries have helped the shuffle, but trying to get guys ABs isn't an easy proposition as it is. With all of the corner type players on the active roster, there's only so many places that they can play. And those are their primary DH candidates. So, adding one more that doesn't field at all only makes the problem worse.
And as erratic as this offense is, hitting isn't going to be my primary focus. Pitching has to take priority. If some of those corner types get dealt in order to acquire pitching, then maybe this makes some sense. But as the roster stands now, not so much.