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Does the location help though, if the company isn't trusted? I can't even visit the webpages of these companies from my enterprise network

I'm speaking of third-party providers. They just host those open models themselves on their hardware.

And even if so, I'll try to get rid of any US affiliations within my workplace, so US providers are not an option either.

There are also EU providers for those models, e. g. Tensorix.