It seems that I was not alone in experiencing problems accessing the BA Reservations call centre yesterday.
I tipped off the Times yesterday about my troubles, and they reported today that others had the same issues:
"More fun and games for British Airways customers, who discovered yesterday morning that the main number to make reservations, as specified on the website, didn't work. Nor did another number supplied by BA's Executive Club. The airline, which is by now convinced that I am deliberately persecuting it, admits to 'some call-routing issues' after weekend maintenance."
Despite the phone porblems not being a good omen, I will be flying to Beijing next week on British Scareways on business; let us trust they manage that aspect of their business a little better than they do their phone lines.