(For example, today's busy schedule includes climbing a tree with a neighbor friend at 11am, which is somewhat frivolous, but there have been things she's been upset about missing because she either didn't mention it to us, or we forgot to jot down in our calendars.)
The kitchen calendar is approved for writes by the kids, too.
That said, with new displays you can hang on a wall, there might be a replacement.
Related, I wonder why we can't store more of our stuff in shallow drawers where everything is visible (think rolling tool chest drawers where you can open one and see all your wrenches at once)
Circling an important date takes very little effort.
No opportunity for distractions.
That whole "flip through the months to think through future schedules" is actually a pretty good UX.
In my house, we ended up with a makeshift calendar on a whiteboard with the basic events. Trash + X day (greenwaste and recyling alternate), school days, practice days, vacations and visitors, volunteering. Everyone can glance at it and know what's going on.
Computerized calendars are nice too, but don't live in a certain place to be looked at in passing.