I know in my case, if I had not stayed to train my replacement I would have been ineligible for unemployment insurance (having “quit); and probably would have received a negative reference.
Training your replacement is not part of your job. They cannot say do this or you in effect quit. Where’s the limit on that? Mow my lawn and clean my toilet until your departure or you effectively quit? It’s bikini day every day for you until your last day, or you quit? They would have to prove anything they ask you to do is your job or standard practice, and if it is and it is a questionable practice, they could be in trouble. If they fire you for doing something that is not your job it is a wrongful dismissal and you are entitle to a hearing. You may also sue outside the unemployment department in civil court. Having to train your replacement could raise a lot of sympathy with a jury.
Regardless, I am gone. I do not have a price for knowingly selling myself of selling my character (Sorry. I do not mean to imply anything toward you personally. I do not know you or the situation and what I am doing is clearly arm chair qbing).
If I am going to lose I might contemplate hanging around to mis-train someone. Sort of like making me bake a cake for a “gay wedding.” That ain’t gonna be the best cake. Why would you want someone training someone under duress? Do they really imagine you are going to sing the praises of the company? Even if you don’t say anything specific, a trainee has to pick up on a funny vibe, they have to realize that that will be them one day.
The other odd thing is most employers want you gone quickly. They worry about reprisals. Funny that isn’t the case here.
Know you are better off without this employer. You do not want any part of anyone who uses people like that. It is sort of like the whistle blower law. People worry if they blow the whistle they will lose their job, as though being part of something illegal or immoral is in anyway ok. I have worked for people who were doing illegal things. I would be happy to lose the job if I hadn’t quit before I notified the authorities.