Nowadays, everybody is using online printers, so spot colors are pretty much off the table.
There are two main competitors, both require ISO Coated v2 300% (ECI) as profile.
I have set up complete profiles for them in Acrobat and like I said, usually the prints look just like they should.

I have a printed business card of the client.
The green on it is 99% identical to the 382U of the Pantone swatch book.
Difference might be because of the paper used or the age of my swatchbook.

Both of them look like my third, most greenish/least yellowish, sample above though.

I guess we will just have to print this batch and hope for the best.