Earlier quoted context omitted.
That seems like a stretch, it doesn't increase the market price or the tax on the new property that the seller is acquiring, if anything it lets the owner save more money so they have more options to buy.
It does increase the tax on the new property that the seller is acquiring, because for a given level of government spending, if the government gets less tax revenue from long-term owners they have to get more from newer owners. It also increases the minimum price the seller is willing to accept for the property, because they won't sell unless the buyer offers enough to compensate them for the higher tax rate they'll…
Also to add to this discussion is the various props and "tax treaties" between counties that allow old homeowners the ability to transfer tax basis from their old property to the new one they're buying. But this is a once or twice in a lifetime deal.