Future Whis' life was the same as his counterpart until Age 766 when Future Goku, who had the potential to become a Super Saiyan God, had died from a Heart Virus, and the Androids killing Future Vegeta and Future Gohan, 13 years later, thus the prophecy of the Super Saiyan God did not arise in Beerus' head and he had no reason to wake the Destroyer. Due to Goku's death, he never visited Earth with Future Beerus, who remained asleep indefinitely on his planet.
Dragon Ball Super
"Future" Trunks Saga
Main article: "Future" Trunks Saga Shin explained that due to the death of Future Beerus, Future Whis is rendered inactive until a new God of Destruction is appointed. Along with the other Angels, Future Whis died when the timeline was erased by Future Zeno.
Although he is rendered inactive, in the second timeline he is still alive due to Future Trunks and Future Mai helping prevent Future Beerus' death by saving Future Shin from Future Dabura and Future Babidi.