Recreate using Chisel on 1.20.1 (https://github.com/matthewperiut/Chisel-Reborn) and Templates 2 (https://github.com/quat1024/templates-mod)

Continuity version: 3.0.0-beta.3+1.20.1

Template blocks use connected textures properly, but base block doesn't.
Unfortunately also, in the base connected textures pack, it uses matchBlocks not matchTiles, so there's also issues with that:

It's worse than I initially imagined.

Neither Continuity nor Templates supports FabricBlock#getAppearance. I plan to support it eventually, but Templates needs to support it as well for the support on Continuity's side to do anything. Continuity also cannot handle non-axis-aligned faces like those on the sloped blocks.