Actually, it's looking increasingly like Burms are adapting to the Everglades, and they may be around for some time to come. They're inserting themselves into the food chain as meso-predators, feeding on raccoons, rabbits, rats, opossums, some birds and small alligators, and similar-sized prey. They're being eaten by a variety of predators (including birds and snakes) when young, and by alligators when larger.
Large Burmese are proving to be ill adapted to the Everglades environment, so we can expect to see the smaller individuals being naturally selected for over time. Smaller Burmese have shown that they can more easily handle the weather and survive.
I find it vanishingly unlikely that they can be eradicated at this point. But this Lacey Act proposal will have exactly 0 impact on that issue, and Burms cannot live anywhere else in the US. Well, they could probably survive on Hawaii, but Hawaii already prohibits importation of most every animal.