My take is that while Brodin might not be a point producing D-man, he is not a bad offensive D-man.
Brodin may not put up points, but he is really great at turning defensive situations to offense and making good breakout and transition passes. He's also really good at taking the puck off the wall when teams dump it in and turning it back up the ice offensively with good breakout passes. He is not an offensive liability, he helps any given offensive-five man unit in a secondary way.
Clayton Stoner, for example, was a liability on offense. He was neither a point-producer or a positive-offensive contributor.
He may not be Spurgeon, Dumba, or Suter with the puck, but he is amazing defensively and does things that lead to offense and contribute to positive offenses. Plus his ability to quickly turn defensive rushes, not just stop those rushes, but be able to quickly and effectively move the puck to forwards with speed in order to move out of the zone, through the neutral zone, and into the opposing offensive zone with speed is really good.
Be careful what you wish for when clamoring for guys like Brodin's head. The Wild play above their talent level offensively because of how good their D are in terms of contributing offensively and as puck-movers.
Look at the Avs, forwards as good as anyone....but struggle because of how often they get stuck in the defensive zone and their inability to get it out of the defensive zone when it is there.