This is likely my neuroticism and paranoia kicking in, but:
The surfaces might wind up slippery. Sure, I can make the velcro face down and make it stick to the carpet, but I get the feeling staff would can this, as this can potentially cause the carpet underneath to fray on removal.
Even then, depending on the available spaces (and assuming we get a space that had no carpet), we're back to square one again on the slippery thing.
Otherwise, I think this would work. Be nice to get some staff input, but I want them to rest- they worked hard and need time to recover.