I can believe that plenty of people would be keen to meet the royals in most workplaces. And for a variety of reasons; eg they could be avid supporters of the monarchy, or just want to meet a famous person.
Most of those who want no part of it will probably just quietly make themselves scarce. Hopefully, most workplaces respect this.
The situation is similar to that of the long list of distinguished people who have refused honours from our antiquated, cronyistic Honours system, supported by the Royal Family who dole these honours out. Again, those offered them probably refuse for a number of reasons, but in many cases the individuals do not care to receive honours from the Establishment in the name of a non-existent British Empire.
The whole system is crying out for reform - so when and how is reform going to happen?