Regarding Bignose ... I mean Bignoli, they have two formulations but their main one is: Aqua (Water), Stearic Acid, Myristic Acid, Potassium Hydroxide, Coconut Acid, Triethanolamine, Sodium Hydroxide, Parfum (Fragrance), Glycerin, Oryza Sativa (Bran Oil), Myristyl Lactate, Sodium Phytate, Citronellol, Coumarin, Linalool < those last few ingredients will change with scent, as they're ... well, scent ingredients.
The star of the show from them is their Antica Ricetta (Traditional Recipe): Potassium Cocoate, Potassium Tallowate, Potassium Stearate, Aqua (Water) Potassium Carbonate, Parfum (Fragrance), Oryza Sativa (Bran Oil) Citral, Limonene, Linalool, Eugenol, Geraniol ... which as you can see is Cocoate & Tallowate, like Cella.
I'm not sure what Bran Oil brings to the show, but they seem to think it does something.
I have a tub of the Traditional Recipe and test-lather was very successful indeed. It's Fat February at the moment and I'm zealous, but I'll work in a proper shave with it soon enough.