Jaeger Lecoultre - redial?

My brother recently received an old Jaeger Lecoultre as a heirloom of our grandfather. The watch was my grandpa's daily wearer for a long time, so I guess it is from around the 60ies.

When I looked closer at the watch I told my brother that he should get it serviced ASAP as the service history is unknown - it probably has never been serviced at all.
I also noticed that the dial isn't in the best condidtion so I told him he should get a service done without letting them do anything to the dial / hands / crown and without letting them polish the case.

As I'm not familiar with JLC at all, I started looking for a similar dial on the internet. Unfortunately I didn't find any matching model. As it isn't my watch, I don't have many pics of it, unfortunately neither of the movement nor the caseback.
But anyway: Could anyone please help identify the model and / or tell if it is an original dial or a redial?
As my grandfather surely didn't buy a fake (unless someone would have ripped him off really badly), I'm confident the watch is genuine.
Many thanks in advance!! 👍👍
Best, Stephan

Ps: the fact that the number 6 covers a part of "swiss made" raised suspicion to my novice eye...

Isn't there anybody who can help?
🤔

Likely a redial. The "SWISS MADE" appear to be placed oddly. Better photos would help in judging, as the signature looks decent, but is not clear enough to offer a strong opinion.

Ok, Thank you both so much for your feedback! 👍