100%. Nothing is sacred where I work. I reckon if anyone asks from another department, they’ll be updated, too.In my work they always ask what's wrong and then it'll get repeated to the whole team (with a guess of when the person will be back)!
Like 'Dan's off today cos he hurt his leg playing football at the weekend, so he might be off the rest of the week depending on what the x ray shows'
Or 'Sarah's sister died suddenly of a heart attack so I expect she'll be off for a few weeks'.
Colleagues absolutely do not need that level of detail about why someone is off!
I told her why just to shut her up.