I and the family had been in Houston, we visited the space centre and some of the space suits were on display. Took some photos of the speedmasters that I assume were used and now part of the collection. o
Those are the non-running mockups Omega puts on display spacesuits - the actual flown watches are either in their own displays or in storage in museums around the country / world
Just hollow cases with no movement? Well, I guess it makes sense, since only 0.01% of visitors even think twice about it.
That'd be my guess, at least for these. But there are also complete mockups (I wouldn't call them "fakes" since they're probably supplied by Omega) out there on displays. I think @Mad Dog found a couple in a few of the airports he's graced