Let me drop in for one remark to HN39 quotes:
Is the maximum roll rate of about 11°/s shown on the AF447 traces really so rapid?
In direct law (FCOM 1.27.30) the maximum roll rate is approximately 20 to 25°/s, depending on speed and configuration. Spoilers 2, 3 and 6 are inhibited, except in case of some additional failures affecting the lateral control.
I'm not sure that he was 'overloaded'. Why would a slow roll to the right or 8° of bank put so much stress on him?
The cause for trouble is not the roll rate or the bank itself, itīs the rollrate and bank near the maximum of the flight and speed envelope. Using 20°/s roll rate at 5.000 feet might be sporty, using them at FL 350 is imho insane.