Why does this article use a photo of Providence? Providence is a not-for-profit hospital that spends millions on the healthcare of Alaskans that can't afford it. It also doesn't employ government workers, as discussed in this article. 
Of course care in Alaska costs more. When someone doesn't pay for their care that cost gets eaten by the provider and their clinic/hospital increasing the cost for everyone who can pay. In addition, the cost to ship supplies and technology to Alaska is more costly than shipping to Seattle, which is an example provided. Cost of living is also higher in Alaska in all areas, whereas workers in Seattle don't necessarily live there they commute in from places with a lower cost of living than Seattle. 
I just think this isn't the whole story.