It would be a useful feature, but I suspect current hardware (remote) doesn’t support sending IR and WiFi Direct from a single button press. For the Roku 3 or any other device that accepts IR commands, this would work. OP has a Roku 3. But, he’s talking about his Stick, which doesn’t accept IR commands.
Those with family members that don’t understand the importance of pressing “Home” when done have this issue. I taught my relatives to press “Home” when they’re done, then told the one in the household that pays the bills that if others don’t press home, it keeps streaming. Since any overages come out of their pocket, they are the enforcer.
Roku Ultra (4660)
Apple TV (5th gen), TiVo
Roku boxes from every generation.
Apple TV (2nd, 3rd, 4th gen)