As a manager I would definitely contact an employee’s emergency contacts and then request a welfare check if one of my team dropped off the face of the earth. Medical incidents happen and a couple of the team live alone that I know of.
In that case, you sound like a good manager to have.
I like my current managers, but I think if I stopped showing I’d eventually just stop getting paid. There was a period where I wasn’t attending daily meetings because I hadn’t received the invitation to them. Eventually I made a comment to my manager that I was glad the current contract didn’t require a ridiculous number of meetings and he said something like “what are you talking about? There are daily meetings. We just thought you were out sick or something.”