No LisaRose the mother did not advise Sophie to say gay parents will die at Armageddon.
The JW mother advises Sophie to talk to her school friend about living forever on paradise earth and playing with animals.
So strictly speaking, the mother is not telling Sophie to go to her school friend and criticise her two mommies marriage or make threats about not getting into paradise.
Some writers, though, have taken liberties with the actual content of the video - but I do understand their intention: Children do parrot their parents' bigotry and are inclined to speak in a tactless manner. Back in the 60s, I remember telling my school mates that unless they went to meetings at the kingdom hall, they would die at Armageddon. Looking back I cringe at my innocent but tactless mentality. I was a little mirror of my parents' and grandparents' beliefs and views.