Please source your 98% number. In 2016, 2,834,290 salmon were commercially harvested in Cook Inlet. Return counts aren't in yet, but they were certainly well over 10 million when all species are combined.

We have reliable counts for Kenai River Kings this year: 33K returned: 8,558 harvested by sport, 6,958 by commercial.

Sockeye details aren't available yet, but we can use historical harvest averages to see who gets the fish. In the 2015 preseason UCI forecast, 5.8 million sockeye were predicted to return, with a commercial harvest of 2.9 million and a combined sport and personal use harvest .8 million.

Finally, there are millions of UCI pink salmon, but only 369K were harvested commercially this year. I can't find good silver numbers or I'd include them.

Summary:  It's fair to say that the majority of sockeye harvested by commercials, but it's nowhere near your cited figure.  The majority of 2016 kings were harvested by sport, thought historic average is closer to 50%.