Potential bug with preloaded GM vs Han

My understanding is that Han always shoots first, except against a faster enemy Han. As seen in the attached screenshot, the enemy Great Mothers were able to take their bonus turn first, and I suspect it is because the team was preloaded with turn meter. Given they gain a bonus turn and not turn meter to apply their doomed and blessed, I would think Han should still be shooting first in this instance, but maybe I am incorrect.