The company had no problems selling in the US abd Russia. And even had multiple competitors.
Hence, expert/import laws are not a problem. At least for professional equipment.
Besides, I would consider relying totally on any one country's GNSS (especially when several are available at very little additional cost) to be a rather poor decision.
The actual USML[2] is a bit...verbose.
[1] http://insidegnss.com/u-s-eases-export-regulations-for-gps-r...
[2] https://www.ecfr.gov/cgi-bin/text-idx?node=pt22.1.121#se22.1...
But that would apply whether they are multi-system capable, or just that they can read the other systems, and are not entirely dependent on GPS.
As for military receivers, apparently they are unclassified but plug into a separate system that works like a TPM and provides the decryption keys, which have to be refreshed at least once a year.