I have the same need for cognition as my mother, but I opt not to lock myself in my office. Instead I tell my kids, "I'm around if you need me and I'll keep an eye on you but I'm not currently a playmate; I'll be here reading on my phone."
The difference is my mother clearly separated relationship-building from study. I don't. This probably means I'm available more often, but with lower quality? I'm not sure. What is better? No idea.