I'm not speaking for WT, but I believe I know enough about them to say this much.

They are not a fishing or fisherman led orginization and as such will not take a position for or against fishing because that is not their concern. They are for proper management of our ocean bound fisheries, but whether that involves fishing or not is inconsequencial. So if it came down to wild fish vs. fishing, they would choose the wild fish.
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"If fishing is like religion, then flyfishing is high church." -Tom Brokaw