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Well, if you look at the web-site ...
https://shop.lafauxmagerie.com/
... it looks very much as if they sell a fairly large range of things.
Obviously, that may just be a web front and they may not actually have it all in the shop, but I wouldn't be surprised if they couldn't yet fill up a whole shop with even this many products, those all being small-scale artisanal efforts, and had space for a caff alongside them.
I'll report back if I go (but don't let me stop anyone from pre-empting me).
I've just noticed that the Fauxmagerie, which started in Brixton, has moved to Cheshire Street, E2.
I think I'll pay them a visit sometime soon, as it no longer involves going south of the river. :)