I'm doubtful.
First, the sports market in Seattle is arguably already as or more crowded than the other four cities of comparable size that have four professional teams - Denver has an MLS team that no one cares about, and the Buffaloes are not as popular in Denver as the Huskies are in Seattle, and Miami (baseball and hockey teams no one cares about), Minneapolis/St. Paul and Phoenix (a hockey team no one cares about) all lack MLS teams.
Second, whatever team Seattle gets in either the NBA or the NHL is likely going to be mediocre (Coyotes, although they may be out of the running) to awful (Kings, Hornets, Bobcats), so there isn't going to be the same "instant contenders" effect that the Sounders "instant contenders" effect.
Third, I don't know how much appetite there is for hockey in Seattle proper, given that the Thunderbirds moved to Kent and no one seems to care about the UW hockey team, and the UW hockey team is a club team. I mean, yeah, the WHL and club hockey are nowhere near as good as the NHL, or even the AHL, but ... if there was an untapped demand for pro hockey in Seattle/Washington, I would think that there would at least be one competitive collegiate team.
Fourth, I get that Seattle is a basketball town - Brandon Roy, Nate Robinson, Marvin Williams, and I know there are a ton more I'm forgetting - and maybe everyone who was so outraged by OKC stealing the Sonics will be totally okay with stealing the Kings, or the Hornets, or the Bobcats, but ... I have to think Stern fucked up at least a little.