It's also entirely possible that the company could have worked to retain the employee. This happens all the time. The only time it matters is if the employee quits on the spot or was given notice of termination. Notice of intent to quit is not quitting.
I've in fact quit a company in Massachusetts before when I was younger because I was falsely accused of theft. They provided me unemployment which I refused on principle. Turned out the manager who accused me was the one stealing. Karma paid her a visit in that she was stabbed during a robbery on the shift she had to cover because of me leaving (she was fine with stitches). After this is when she was caught. So fun times all around.