The InFocus ScreenPlay 777 remote control is a perfectly reasonable remote control. It is backlit, and has the basic functionality needed. I found the navigating controls (at the top) to be unusual, with menu on the left, an up and down in the center and enter, on the right. This forces InFocus to rely on a menu item (on all menus) called previous - to move back up one menu level.
As I said, it took some getting used to, but, that comment from someone working with several different remote controls every month. For an owner, I'm sure that the remote will become second nature, rather quickly.
The real point, is that I believe that the typical purchaser of a $15,000 projector is not going to settle for having 4-7 remotes in operation to control their system (projector, DVD, cable/satellite, receiver as a minimum), rather you would buy some form of programmable or learning remote system that allows you to control the whole system and probably the room from a single remote. If you are non-technical, your dealer would most likely recommend such a remote system and program it for you as part of your system price, and if you like to play with the gear yourself, almost certainly you'll want a fancy remote.
So, if I'm right, if you get yourself a 777 (a truly great idea), you probably won't be using the provided remote for long.
For those that do use the InFocus remote control: The Power button also works differently than most projectors. Most require you hit the power button twice to shut off, to prevent accidently turning the projector off. The 777, instead is a single press, but if you don't intend to power down you can hit another key to abort. Moving beyond the top buttons, you'll find a resize for adjusting aspect ratio, direct up/down buttons for brightness and contrast, and separate buttons for each source.
There is also a direct access to the overscan feature, an auto image for grabbing the image, a blank screen, and finally direct access to the Preset user settings.
The backlite button is on the right hand side of the remote.