In particular it seems your mod breaks horizontal texture types that use a biome tint.
Attached is the textures for a resource-pack Im making for Chipped, the block its for in this quick demo pack is Curly Mossy Cobblestone Pillars.
Using Arch. API v 9.2.14
Chisel Reborn v1.8.10
Fusion v1.2.3
Chipped v3.0.7
{optional}
Re Chiseled v 1.1.6-Fabric
 Biome Tinted Chipped 1.2.3.zip
Without Chisel Reborn:

With:

I reckon this is due to the sheer volume of connected textures chisel adds, can you add an issue to fusion to see if it may be on their end, because my code shouldn't be causing this.