In any case, consider an analogy: suppose you wanted to end human slavery. Would supporting "sustainable" slavery end it more quickly, or not supporting any slavery at all?
I realize that slavery is not the moral equivalent of eating meat, but in terms of the effectiveness of boycotts, they are pretty similar. I can't really imagine a way in which the boycott to buy only "sustainably" slave-made goods would hasten the end of slavery more quickly.
I am really not going to bother debating a ridiculous comparison of eating meat with slavery. It is essential for our health and we don't need to feel bad about it when we aren't destroying the environment or torturing animals.
"The worst slave-owners were those who were kind to their slaves, and so prevented the horror of the system being realised by those who suffered from it, and understood by those who contemplated it."