It looks like this website, vfrmap.com, includes World Aeronatical Charts (WAC), Sectionals, and Terminal Area Charts (TACs). Their scale is successively more detailed, i.e. 1:1,000,000 for a WAC, then 1:500,000 for a Sectional, and finally, 1:250,000 for a TAC.
In non-TAC areas, I think you're seeing it change from the less-detailed WAC to an ordinary, albeit more detailed sectional (two steps).
In TAC areas, you're seeing it change from the less-detailed WAC, to an ordinary, albeit more detailed sectional, and finally to the most-detailed TAC (three steps).
I just looked, and it looks like skyvector.com doesn't display the WAC charts, so you don't get the more detailed effect when zooming in and out in a non-TAC area.
All of the above is "I think..."