I think you certainly have a right to complain as the Swiss would be breaching the bilateral agreement with EU by doing this. I would have thought that it is a mistake. Did you speak to your local kreisburo/gemeinde?

In terms of your job offer, yes, you won't be able to take up employment if you have a restricted L. Anyway, as I said, I am pretty sure that it is a mistake.

Please keep us updated on the progress and all the very best!!