Seal clubbing for pelts is not the same thing as controlling over-predation.
You would change your precious view, were you to catch a king, reel it in, only to lose it to an SL which rips the fish's belly out and lets the rest sink uneaten. 
Even if you're not an angler, watching these fat bastards set up below Columbia River dams at fish ladders would remedy the bambi complex. There are a bunch of weepy old hens in Portland who share this malady. And unfortunately, the Obama administration viewed SLs similarly as the hysterically soft, and made culling nearly impossible with an outrageously stringent identification protocol.
Salmon are the best of us, they're in trouble, angler predation has been scaled back increasingly every year,  SLs are next, and I don't give a seal's eyeball who's offended. We can go all over the world killing innocents, but won't buck up for honest duty to our finest brother. You are correct though, Nature is heartless, & SLs will follow salmon to extinction.