"Physically protecting your computer" is kind of a non-statement. Computers get stolen, full stop.
Edit: now that I think of it, if a company laptop with customer data had full disk encryption and was stolen, do you still have to notify everyone? Does it matter whether it was off or on/suspended? Maybe people will be relieved when they find out that "8GB of data was probably not stolen" (with AES-in-CPU-only) instead of "300GB of data was probably not stolen".
If a three or four letter agency is coming after me, I have bigger problems.
Full-disk encryption (on a machine turned off at the time) is, I believe, typically considered sufficient protection. Consult a lawyer in your local jurisdiction, though.
With suspend-to-disk Linux allows me to save the RAM image to the encrypted harddisk. With suspend-to-ram it would be pretty easy to work around the encryption.
The point of this research is that there aren't (that we know of) "cold register" attacks that extract prior contents of CPU registers.