> Also, even though not everyone comes in at the same time usually there are "core hours" where everyone is expected to be in the office. At my last job this was from 10-3. I don't think it's too unreasonable for a team to be able to find some time when everyone can be in the office, especially when it's only a few hours long.

I don't think it's unreasonable, either. In fact, I think it's necessary to run a successful business with more than one person. However, it's not "absurd" to have some definition of late or to expect some consistency in when particular people arrive. That said, the original described case is overly and unnecessarily rigid.