I think that you are looking at that the wrong way. It isn't increased out of cage time, it a response to the excitement and activity.
I think it would help things for all to use the same flock call phrase. As members of the family move out of sight to other rooms. Something like im in here birdies, or like a wolf whistle, or its ok. Respond to their flock call or occasionally you sound off first, just to let them know you are still around. Over time I've been able to tell a difference in their flock call check. Sometimes they sound off just to check im still around , that's when I use the whistle..Sometimes the sound off is like I forgot where are you? That's when I'm like I'm in here!
Flock species keep track of flock mates . Not knowing causes anxiety..
On that same theme, its very important for all member to let them know when they are leaving the house and when they are back. Just a quick going over and saying bye birds. Tho I give a treat when I leave. And on your return going over and saying im.bsck now and treat. It may seem like silly simple stuff , but has great value to a creature thsts programed to keep track of their flock . With lots of people coming and going, not knowing what's going on who's home can cause anxiety and frustration. My friend paid a great desl of money for an in home behavior expert to help her with issues with her parrot. Implementing the above had a huge postive impact for her parrot snd family.