Classicwatch Vintage Watches

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.

For a Powermatic, I would expect the dial brand to match the movement brand, with "LeCoultre" on the insides of the case back in both cases.