On 1.20.1 Quilt you can't use the furniture workbench at all. I've tried with my full modpack and a clean instance with only Furnish, Architectury, and Quilted Fabric API.

[22:07:09] [Render thread/WARN]: Failed to create screen for menu type: furnish:furniture_workbench
https://mclo.gs/oyUl6yA

Hi, thanks for reporting!
This will be fixed in Furnish v26, which should release soon (in the next week or so).