I’m having issues with the HDMI out of the 7D as well. I tried to hook up my Manhattan LCD HD8900 monitor to it, but all I got was a standard SD resolution instead of magnificent sharp HD. This makes my monitor worthless for pulling good focus. And indeed, on my TV it looks great!
According to Manhattan LCD the 7D uses HDCP, which makes that stream impossible to use with their monitors ( which is a seperate issue ofcourse ).
The solution offered was to use an illegal piece of equipment called a DHCP stripper. No idea where you can pick these up but perhaps that might solve your problem. I haven’t tried it myself yet.