Thanks - that is interesting. I've noticed that on waking up from timed sleep not only is there sometimes no HDMI output but there's also no hard disk. That is, pressing the media button does nothing, and pressing pause or rewind does not pause or rewind live TV.
This seems similar to your experience of "no recorded programmes were available".
Like you, I've found that the solution is a reboot (simply off/on with the remote will do it).
I'm beginning to suspect a software bug but surely I can't be the only one using timers to sleep/wake a 2000T. Actually I know I'm not, because in another room we have another 2000T which wakes perfectly happily using timers. My next diagnostic is therefore to swap the two units over and see where the symptoms go.