I have not used gotomypc.com, but I can tell you that it would not work well. At best, you could probably use it to help w/ a summon or make a mage table...etc... but I don't think you can use it as a dps or support role.
I've used DameWare and Terminal Services... and these are some of the best remote desktop solutions... and they would not send over the DirectX video.
Connect With Us