CITES is actually hard to get for a species. I've submitted a proposal in the past. One must prove not only that a species is declining in the wild (regardless of its status legally in that country) but also that the TRADE is causing, or contributing, to it... AND it actually does help if the home country for the species has no protection for it. If the home country has it listed and controls trade in it, then CITES proposals are often withdrawn or shot down. If one cannot prove that there is a significant trade (which is hard to do with taxa that are not CITES listed as the import documentation isn't always as detailed) then it may be shot down. And if the trade in the species is not harming the wild, then it will be rejected. If international trade in wood is causing a frog to decline, CITES is irrelevant. Only in that case if the TREE was declining might CITES be relevant as the trade in the tree was causing the tree to decline. In other words, habitat loss isn't likely to be enough to kick in CITES for a species.
All that said, Dendrobates are CITES II and are still imported from the wild. Isn't that ironic?