I created a software restriction policy in a GPO that disables access to 64 bit version of IE. I used a path based policy and pointed it to C:\Program Files\Internet Explorer\iexplore.exe. I created the policy under the Computer Policy section. The GPO applies to OU that contains RDSH (TS) servers running Server 2008 R2.
The policy stops users from running 64 bit IE. They get a popup saying that access to that software is restricted.
The issue is that is also restricts access to 32bit IE. They don't get any popup, the program just doesn't start. This is logged in the Event Viewer:
Access to C:\Program Files\Internet Explorer\IEXPLORE.EXE has been restricted by your Administrator by location with policy rule {02ef9438-7adb-4234-aa75-9ad24e3b19c9} placed on path C:\Program Files\Internet Explorer\iexplore.exe.
I manually navigated to the 32bit version of Internet Explorer though.