What I'm reading in this and have read other threads on the subject tells me that there's inconsistent adherence (by the hotels) to what's printed on the back of EEO B1G1 and BBs. (And a multitude of opinions have been posted as to why.)
I've experienced the opposite of what many have releated on this one.
On 4 night stay (two 2-night back-to-backs) at a Connecticut FS Marriott on a publicly-available rate (required no group code) for Wednesday night through Sunday morning, they completely screwed up the application of the BB (for check in Thursday-check out Friday) and the EEO B1G1 (For check in Friday-check out Sunday).
When I required at check-in they confirmed that there would be "no problem" and reiterated it when I reconfirmed it (with the MOD) the evening prior to check-out.
I'm a regular there and upon and after it got straightened out they were very apologetic and generous in terms of the (unsolicited on my part) compensation.