Does anyone know if Lecoultre Powermatics can be signed on the dial as "Lecoultre" but signed on the movement as "Jaeger Lecoultre"? An article on Hodinkee says that they should both match.

Does anyone know if Lecoultre Powermatics can be signed on the Dial as "Lecoultre" but signed on the movement as "Jaeger Lecoultre"? An article on Hodinkee says that they should both match. Here are pictures of the watch.