Though we're all aware by now that Dunn prefers to play in the field and not DH, it goes without saying that his value would be higher for any team that could keep him from allowing runs in the field while continuing to produce at the plate. An AL team would offer that opportunity, perhaps giving Dunn something of a soft landing into the DH role by easing him in over time.
It remains to be seen how the White Sox will use Dunn, aside from penciling him into the batting order every day. Their longtime first baseman Paul Konerko is a free agent, but there were reports Thursday that the Sox would like Konerko to return even with the Dunn deal.
The Nationals, meanwhile, will collect two draft picks after losing Dunn, a Type A free agent. They'll get Chicago's first-round pick, 23rd overall, and a compensatory pick between the first and second round.