Will parts for servicing a vintage Rolex ever become impossible to find?

[whatches]

Morning gents.
A thought that occurred to me, and forgive me as I am not the most informed guy with regards to the engineering inside the movement of a Rolex.

I was just wondering, as I should understand that servicing a vintage watch that for example has not been serviced in 10+ years would need quite a bit of an overhaul.
So I would imagine, new gaskets, some new components, maybe main spring, a new crown if needed, etc.

I wonder if it may become that these parts are not available with watch makers and thus a service cannot be done anymore?

As ridiculous as it may sound, I am just curious if buying a vintage rolex will eventually become a lost cause.

Forgive the new guy venturing this world.
Greatly appreciate the responses, and thank you.