Did they travel in a spacecraft, and did they recieve the necessary training to do so?

Not all astronauts pilot the spacecraft, and most going to eg. the ISS don’t actually do anything while going to the station. That trip is also just an automated flight, controlled by the onboard computer.

It’s more akin to, “if that makes them astronauts, then people who have traveled on an airplane, has recieved the training to travel in an airplane.”