First thing, it is too late to fix the mistakes. Second thing, I cringed when you mentioned "native" sport fishery since the popular gamefish ain't native to most areas. Third thing, there are no negative effects from snakeheads on the ecosystems beside the waters where the snakeheads were found was already altered, full of non-native fishes.
Your logic is off, it is not to late to manage or fix a mistake. They removed all the Northern Pike from Lake Davis/California. As well there is a native sport fishery for all areas of the USA. Here in California it is the Trout, Salmon and Sturgeon fishery (not a bass or sunfish fishery). As well ironically their is a native species (the Bowfin Amia calva) that is found in the Southern USA that is essentially an American version of a Snakehead. Lastly the Snakehead is an apex predator and whenever you add a new apex predator it has effects on the entire ecosystem and to think it is not going to have an effect on the native fishery long term is naive. Even though it may take Fisheries Biologist decades before we have got a complete idea of what kind of effect Snakeheads are going to have on the native fisheries. From what I have read about Snakehead management in Florida is there is a 100% cull for all Snakeheads caught that limits and reduces populations in Florida. To encourage an invasive (not even native to North America) sportfishery to US water ways to me is a bad idea.
Jeremy