If you ever wonder what is the role of professional army in case of any serious invasion or war. Their role is to hunt for conscripts, kidnap them, and transport them to the army recruitment centers.
I don't know where you are getting this, but this is very much not the role of professional armies in most invasions historically
Usually when your country is invaded you don't stay in your silicon valley privileged mindset and you go to conscription willingly
It is very true. Look at the Ukraine war for a current example.