Hype sets up a timer to fire when the timeline is completed to draw the last frame. What you're seeing is the girl suddenly appear because the timeline jumps to the end. But, if it hits a pause timeline action, this timer is normally invalidated so it does not fire.
Adobe's Dynamic Tag Management system has code which prevents the timer from being cancelled (technically it overrides
I don't know enough about the dynamic tag management system to recommend a workaround that keeps both systems in tact.
If you have a support/engineering contact at Adobe I'm happy to communicate with them about it.