OK, here is my final shot and thought on the issue.
I am afraid you have bought a chinese, no-name, sub-standard IR remote/ receiver. Sub-standard in that the defiicient signals from the remote or the deficiency in the IR receiver require a helper in Intelliremote to make up for it.
(Even DELL/HP/Pinnacle remotes/receivers are made in China but to strict quality and specifics imposed by the principals. The clones have no such compulsions.
Microsoft itself stopped manufacturing these long back giving rise to proliferation of such clones. It is a veritable jungle and frustrating to consumers to pick up the right one. Your receiver looks like a HP clone.)
Instead of buying the $24 or so Intelliremote software, you have two options.
1. Buy another good and known-to-work remote/receiver. Here I may refer you to this section of the Australian Media Center Community Forum
Other Hardware - Windows 7 - Australian Media Center Community where I have seen a lot of queries and answers on what remote and receiver to buy and wherefrom.
2. Your second option will be to jettison Microsoft, IR altogether and go for other brand IR/RF remote/receiver. The choices are many. I believe that you are quite knowledgeable and no spoon-feed is required. All the same you can have a look at
is there a hardware RF PC remote control that will work on win 7 and many other threads/posts on the subject. In the IR category have a look at EZ Commander.
http://www.ezcommander.com/a2.html
Good luck.