Then your next job calls this job to verify your employment, finds out you quit without notice, and withdraws the offer

Except that’s not how this works if you were ever in a position to actually verify employment. Every company ever will specifically tell their employees to just confirm whether or not the person used to work there and that’s it.

Anything else opens the company up to a lawsuit for slander. The employee is already gone. No company is going to risk a lawsuit just to warn another company of a bad employee.

The large hospital system I used to work for absolutely communicates termination status to other employers, one of those is “resignation without notice,” and I knew 2 people who had job offers rescinded other places after verification