I also have a stock DS1052E with FW2.05 and I cannot reproduce this lockup. Mine's perfectly happy if I set trigger to rise and fall (the up and down arrow).
That's exactly what I've experienced, again with a stock DS1052E with FW2.05
The rise and fall triggering works fine for me and I'm able to display alternating measurements of the rise and fall times of the calibration square wave, for example, with no problem.
If I switch the scope off and on again with the signal still attached it just goes back to where it left off.
If I switch back on without the signal attached it just waits in rise/fall mode and starts again as soon as the signal is reapplied.
What I have observed is that after setting this up for either CH1 or CH2, and then switching to the other channel, all I get on the other channel is noise, with or without the cal signal applied, and I have to press the AUTO button to restore a usable trace, at which point I can set up the new channel in the same way if I so choose.
I've certainly not experienced anything that I would describe as a "crash" and as far as I can tell FW2.04SP1 behaves in the same way.
More specific details of the observed problem would be appreciated.