Very suddenly I was told to choose between 2 new sets of hours that equal the same, but different days or lose my job.
You will have to contact your state to find out. You didn’t provide which one you’re in, so I couldn’t even search for an answer.
The answer to your question could vary from state to state and the state would also need to have some type of interpretation index for voluntary leaving. Otherwise you’ll be forced to call them to get the answer.