How does this work? What makes mouse movement relevant to this... this is computers, not magic.
It's probably running out of entropy. If windows is anything like Linux, it will use certain random events like mouse movements, keystrokes, boot time etc. to generate randomness.
But yes, I have seen a similar case involving linux /dev/random - the user reported that outgoing emails were sometimes delayed for hours and that moving a mouse over a VNC window would sometimes speed it up. I did not believe that at first, but it was exim4 running out of entropy when generating TLS session keys. Worse, it was on a VPS with about 20 exim4 processes competing for the entropy.