Here is my 2 cents. In my state, Texas, you cannot get unemployment if you quit a job. Yes you may have another job but why would they care, as you wanted to work for them to begin with. That is unless they seen you some where and said “hey come work for me.” But back to my not so pointed point, ah heck who am I kidding I have no point.
Why would they care there is some one who will apply and replace you and anyone else that quits.