We use Gore-TEX jackets in the Marines, and in the field you can tell who washed their gear correctly and who didn't.
https://en.m.wikipedia.org/wiki/Durable_water_repellent
Also note each jacket has a different thickness of the gore-tex layer which conditions how many hours of rain it can withstand.
You can also get "Shakedry" Gore-tex products, which don't have an outer layer needing DWR treatments at all.
So yes, you need to treat most goretex jackets with a DWR periodically.
You wouldn’t happen to have the official Marines Goretex washing manual handy, would you?
Wash in Nikwax Tech Wash, hang dry.
They have the combined budget of the next 10 militaries.
Price is NOT a high priority for their procurement team, unlike most shoppers.