I'll admit I've not RTFT.
My DD is almost six months, I've fed all over the place and never been offered a room (though I did get 'moved on' from a closing museum, at which point I walked to the exit slowly carrying a still feeding baby, museum guy was mortified)
Am I the only one that thinks it's pretty bloody pointless to wait until someone has their baby latched on before offering them a private space?
Even if I'd prefer to feed privately (I'm probably one of the flop of and get squirting brigade that is offending people, mine are an E, DD won't feed with a cover, and she gets distracted and exposes a nipple occasionally, though mostly I find people don't even notice even so), I'm not going to stop, pack up all my shit and move half way through a feed.
Honestly I feel like being offered a room is alway going to seem like you're being asked to exclude yourself, when this is still such a touchy subject. Maybe signage would work 'Feed your baby anywhere, but there's a private space if you'd prefer' or something?
Like a PP said, a bed would be awesome, DD fed much better lying down when she was little and I was struggling.