You sound alarmingly like management Twiglet.
No, it's not a day off, but it should be after 5 days on. BAEF's direct competitor (for pilot T&Cs at least) is Easyjet, and they do 5/4/5/3 with no rest days and far stricter FTLs, not to mention considerably higher salaries. Anyone looking at joining BAEF should have that context. EF could potentially write off your rest day and plan 6 on - what real use is that day?
But thanks for pointing out you can't work more than 24 hours a day, every day, all week.