They keep negotiating payments-in-lieu-of-taxes to dodge fair tax rates and grab special treatment, so we do see a loss in value there over decade(s) in many cases.
Sure, there’s plenty of places where you could plausibly build a data center, so the leverage that localities have to insist on high tax rates is limited.
That page has conflicting information. The top text says "Property tax abatement: Limited", which implies tax breaks are limited, but then the bullet point says "Property Tax: Limited", which implies the opposite. Moreover the site doesn't cite any sources so you can't even verify yourself.