> Or when they built their own GPS system and it ended up being far more accurate than any other system in use?

It actually is. But yes - that project was a shitshow for a long time.

Galileo HAS now offers 30cm accuracy with less than 100s convergence time not needing additional correction servers/stations.

Also spoofing resistant thanks to cryptographic signing (Galileo Open Service Navigation Message Authentication).

Both free for use. Forever. Classic GPS doesn't offer this.

My impression is that the US system does, but the higher accuracy is still reserved for military use?