"6. No known ‘reef-safe’ remedies work consistently. Many aquarists think a particular remedy works when in fact the fish acquire an immunity or defense against the parasite. It’s easy for any manufacturer to have an independent study done on the effectiveness of the ‘reef-safe’ remedy but they don’t because. . ."
http://www.reeffrontiers.com/forums/showthread.php?t=27003
If the medication is invert safe, it is not harmfull enough to rid the tank of the the Ich parasite.
The symptoms might go away as they always do with Ich, but they will always come back at a later date even with no fish added. These remedies are "snake oil" and are only good for draining ones pocket.