When watching a replay and pausing its playback, the abilities that are in cooldown are
restored, and after a pause, the cooldown time of the ability is reset to the value that was before the pause
When you download a game and are watching it, if you pause it does not pause the respawn timers. So the respawn timers continue to count down while the game replay is still ongoing.
This may be related to my report as well. Where respawn counters continue to count down while paused.