I would disagree. The above are valid points but there's no reason why you can't Snarl hate back onto your pet. Also, a few crits during a TP move may heal him, but those few crits will take that health back off in no time. With just a pet on it you won't be feeding much TP at all so the ratio of hits that heal to those that damage will be pretty high in favour of damage. Pretty sure the FFXI wiki has testimonies of BST soloing it with not that much trouble.
See You Space Cowboy