Not that I'm aware of, no.
We used to use Citrix with NT3.51 and then went over to MS Terminal Server.

I've not seen anything like that in our applications.

How fast are your links to the server, dial-up, or LAN?

Do you have code in the click() as well as doubleclick() of the controls?
We don't do that, we only have click() and rightclick() together. If we use doubleclick() it's on its own rather than as an alternative to click().