I have not looked at that jurisdiction in quite some time but I would be confirming that bearer shares and nominees shareholders are not allowed. I imagined that you confirmed that they actually purchase the real estate?
Regarding the LLC itself - if it's a real estate holding company that's not unusual assuming you that you see the typical activity for such an account.
"100 victories in 100 battles isnt the most skillful. Subduing the other's military w/o battle is the most skillful." Sun-Tzu