I was wondering about that before on some of the old Beam Spring boards. I have an IBM 3727 board that has a label saying it's made in Armonk, but the bottom of the case next to where the label is attached says Canada IBM. I had heard that all the Beam Springs were made in Canada. I haven't opened it up yet to see what markings might be inside. It has a cover on the bottom holding the user's manual, which was printed in the USA, so maybe they print the manual, attach it so it's part of the unit, and say it's made in Armonk.
Was it this thing here? -

I saw it on eBay a few months back marked as a 3727 terminal keyboard, but it looks the same as the 3101 keyboard. Possibly a subvariant of the 3101 for some particular machine.
As for those Made in USA labels, the one on that one I saw on eBay was the same style as the 3178 Model Fs -

I wouldn't take that to say that they were made in Armonk... From what I understand, Armonk is an affluent suburb in New York where IBM has their headquaters, rather I think they are just referring to that it was made by IBM as a company.
What's interesting is that none of the other Model Fs of the time had labels like that. I have a theory that the 3178 Model F was made from spare 3278 keyboard PCBs because they are basically the same keyboard with a different external casing. I'd say that wherever IBM made Beam Spring keyboards in the US, they also made those 3178 boards.
The fact that at least some of it says that it's made in Canada is not surprising. It's possible that it was partially assembled in the US but most of the parts originated in Canada.
They date to 1983 and are for the first gen 3290 terminals, and possibly also the 5080 thingamabob (can't confirm this yet).
Given the description from the 5080 graphics terminal, I'm completely convinced that it used the exact same keyboard. Even if it had a different P/N, it would have had the same internal arrangement and more than likely the same connector options for use with the LPFK.