I am experiencing rendering issues from a piece of my tileset since Cesium 1.67 (problem persists with Cesium 1.70.1).
It looks like the closest tiles of an entire portion of the tileset are not rendered and keep appearing blurred no matter how close the user zooms. On this link you can see what it looks like at the limit between the two zones.
From the links you posted, I can see that app is continually loading tiles in the 1.67 version. It looks like this 3D Tileset has a lot of tiles in the upper parts of the tree, which is why it loads so slow (it should finish loading eventually). I think the change in 1.67 CesiumJS that makes this more obvious is that skipLevelOfDetail now defaults to false. I think if you set that back to true you’ll go back to the old behavior.