I think I remember reading that the lifeboats had their nameplates removed when they were in New York (some were stolen I think), then when they were returned, they were indeed put on other White Star ships, including Olympic.

Olympic's crew was in a sense of panic I guess, because the crew actually went on strike until more lifeboats were added. So does it make sense that maybe the other White Star giant get priority over Titanic's lifeboats?