Does it simply not indicate a need for recliners or similar set-up to some of the LX lounges (I'm pretty sure it was a LX one I used although not 100% sure) where there are essentially sleeping areas? They are designated 'quiet' areas as well, where talking and noises are not permitted. It seems like a really good solution to me, and I tried it out to chill out for a while and it was really nice (I did it to get away from people's noises)
I'm pretty sure people would rather not sleep in public like this if there is an appropriate area?
Actually SIN terminals have public resting areas with very deeply reclined seats that appear simple and cheap to put up (they are not mechanical recliners, they are designed to be in a very reclined position).
While I would never, ever be caught sleeping across a sofa like this, I'd happily use those recliners designed and intended for sleep.
Maybe LHR/BA could take notice of people's behaviour and offer solutions to that?