This is from the Alaska press release regarding Delta (now officially the parent company of NWA) and Alaska's expanded marketing agreement...

"Elite reciprocity privileges for Delta SkyMiles members and Alaska Airlines Mileage Plan members including priority boarding, priority check-in..."

So technically, possibly or maybe "yes" to your question. But I wouldn't count on the folks at the NWA counter knowing about this. In the press release, it doesn't promise any of this until the end of 2009, so you may be out of luck on this flight.