Department Specific ID Computers

[Tombi]

I've finishing adding the department specific computers and now I feel like adding the fire button after all. Although I wouldn't mind some input on the particulars.
Does it sound unreasonable if you could fire anyone from any of the id computers (granted you have got their id)? My logic is if someone already got hold of an id they could of simply disposed of it, but the fire button is more like public shaming.