WDFW always followed a different agenda than their Federal bretheren regarding Olympic goats. Goats, when they are inside the Park, are the Park's. Goats, when they are outside the Park, fall under under the stewardship of the citizens of WA and their agents the WDFW.
WDFW is required to treat the Olympic goats just as they do every other goat population in WA. It's their task to manage the goats living outside the Park and the WA goat Bios don't currently consider the Olympic goat populations viable enough to allow a season.
To my knowledge the WDFW was never directly involved with or endorsed the Park Service's former irradication program, although they did have some involvement in past capture and relocation of goats to other sites in WA and other states, sometimes in trade for other species.
This was WDFW's speech on this topic a few years back and I'm assuming

that this is still current.
Good question.