I have the curious distinction of being a former BA employee and also someone who, in later employment, was asked to take a pay cut “to save the company”.
Based on my experience I recommend that before agreeing to work for a month without pay, BA employees find out what happens to Mr Walsh if his stratagem fails and the company goes under. Compare the situation he’ll be in with the one that they’ll be in and then decide if they want to gamble a month’s pay.
I didn’t take the pay cut my boss asked for; the company went down and I had a difficult 9 months keeping up with my bills. My former boss retired to the south of France with his secretary and a very comfortable pension.