I admire efforts to integrate these. I’ve already changed my mind since you replied to my first tagging idea, now the next (second, current) one is to use Key:dark_store (instead of storage_shop)! That’s on me and this simultaneously moving thread.
So, maybe a one-for-one swap of those two (storage_shop → dark_store) works for you?
But I don’t think there needs to be company=logistics and/or logistics=dark_store, together, necessarily. Unless it exists, in which case, OK, “build a ladder to climb on” (if you need to semantically make sense of it like that). Because it may not be the case that a particular dark_store “fits into” “logistics.” It might. It could. But it doesn’t have to. For all we know, Tesco might call it this, it might not. Some observer of objective reality might chime in, I don’t know.
There are a handful of dark_store values, all we need is one node tagged with key dark_store, with a value of grocery, to denote such a thing. I could write a short wiki, so, again, any volunteers to “add such a node?” (Hint, maybe you add such a node inside of Way: Tesco dot com Dark Store (46034800) | OpenStreetMap. At the exit depot?) C’mon, let’s get the ball rolling! (Other hint: brand=Tesco).