Depends on how thorough they are. It could be a last check before signing, to confirm their decision, or it could be a deciding factor. I'd say that's it's 80+% the first of the two.
It usually means you are the one. They are just being thorough or they just need a little reinforcement. Sometimes they are just looking for reasons to book you. They know they want it they just need a few others to give them permission to spend the money
Like others said, usually it means that they want to lay down the cash but have just a little anxiety about spending so much on a service. Just that little reinforcement helps. I've had about 2 brides as for references, which I gave them willingly. Bride never called any of them, but called me the next day to book. It's the thought that counts I guess.