Despite what the EuroAristo naming guidelines say, the surname Lacie was altered down through the decades in this manner. Hugh De Lacy of Pontifract is one example. There were several of the Lacie, De Lacy, Lacy's of the Norman extraction, French Huguenots if you will who altered the name spelling for whatever reason. I'm just passing along some of what I know about the surname in question and it's usage timeline.
To answer your original question, no I have no idea. But I can tell you that if the LNAB spelling is in question then the dates should be as well.