In my experience, the good ones do.

Medical typically does

I'm sure this strongly depends on where. I don't really know the state of the world today, but very distinctly remember curves being destroyed in the late 90s early 00s by a flood of professional engineers and medical doctors fleeing former Soviet republics to the US and not having their licenses or even degrees recognized and having to go back to school. There was a time where the quality of students in Los Angeles community colleges was probably higher than an average Ivy League university because of this.

Not necessarily. You might need to get country specific additional training which can be either easy to get or .. well not.