I suppose that may mean something if you're playing detective with a former Blizzard employee's resume, but I'd be cautious in reading too much into "if the former employee is eligible to be employed there again" generally. I know of a company where HR policy is that all involuntary separations are ineligible for rehire, including things like downsizing layoffs.
Most likely to avoid someone returning on false pretenses to retaliate against being downsized in the firstplace.
"Lowest performers" doesn't imply bad performers (e.g. a strong team of A & B players).
Also downsizing can happen in different ways. For instance: "we're closing this whole site and laying off everyone who works there," or "this project failed [due to bad leadership], so we're laying off the whole team."