Maybe ask him to switch it up? “Come check this out” for something interesting, “Come here” for something he needs help with (broken glass, for example), and “I need you, now” for emergencies.
As far as the “wondering” questions go it seems like part curiosity, part control. My dad used to do it to my mom sometimes (he has super early signs of dementia), but my mom shut it down with: she’s her own person and she’s not going to stop living her life and reporting to him when he gets anxious that she’s not home. It may sound cruel but he’s also not calling/texting randomly when one of her church meetings goes longer than expected. This one is more like setting boundaries for when you want to be autonomous without having to worry about answering him immediately.
Side note: I’m just a musician, not a therapist, so take what I say as you will.