It all depends on how you want to use or express. And there's, I think, no need to specifically clarify the country of origin. We are not the tax collector.

My personal surprise when I visited first to US in early '80, not a few people thought "Sony" was a US company.

Toyotaman's definition is very close to US International Trade Commission's decision made by June 1988 for the anti dumping case on Japanese forklift trucks to US market.

Everybody agrees that it is useless to determine a "nationality" of multi national conglomerates.

Many understands Clark is a US company while the rest believes it became a Korean company. Is Kion a US company, or German? But, who can tell the nationality of KKR and Goldman Sachs. Their money comes from all over the World.

For me, Kalmar is a Swedish maker rather than a Finnish.
Therefore, I understand, it all depends how you want to interpret except tax imposition cases.

Sorry, I know I'm away from what Steve I raised.