New plan: Split this up into two steps – first make a mobile corporea request item (the "Reification Halo"; no crafting capabilities, only a way to access the corporea network without having to interact with a particular block), then later make an upgrade that can also request ingredients for crafting (the "Reifactory Halo", crafted by combining an Assembly Halo with a Reification Halo).
This Reification Halo (aka. corporea request halo) would act like a portable combination of a Corporea Index (minus the chat input option) and several Corporea Crystal Cubes. While holding it in your main hand or off-hand, you can use the corporea request button in inventories as if you were standing next to a Corporea Index.
Otherwise, holding the halo in one hand an an item in the other, you can request that item type via the center segment of the halo UI. The item type of any request made with the halo can be stored on any of the other segments. Any requests via the halo UI work the same way as punching a Corporea Crystal Cube, i.e. you get one item of that type by default, or an entire stack of that item type while sneaking.
I could also imagine that the halo UI shows the number of items available in the connected network for the item type held in the other hand, and also for any stored item types. For performance reasons (and maybe also mana conservation reasons) this display might be restricted to the currently selected segment, or (if that's possible) only when holding another modifier key, e.g. whatever sprint is bound to. If the player is out of range of any network with a matching color, the segments retain last-known information but everything is sort-of grayed out, requests won't work, and no mana is consumed passively. The same would be true if within range of a network that has no Corporea Index.
Speaking of mana, I think something like the Spectranthemum flower's teleportation mana cost might be a good model for making requests. It scales linearly with the number of items being teleported and with the square root of the distance to teleport them. For the Reification Halo that distance would be measured to the nearest Corporea Index block in the connected network, and could be considered zero while the player is within interaction range of the Corporea Index. I could also imagine a passive mana cost for updating item counts, which would not be distance-based, as no items actually get teleported. Recounting happens once per second while the halo UI is up, like with a Corporea Crystal Cube. (The actual mana consumption might be smoothed out over the entire time the UI is shown and depend on the number of stored item types and whether another item is held in addition to the halo.)
The Reifactory Halo would be a strict upgrade to the Assembly Halo with corporea capabilities. No automatic crafting and no recursive crafting logic, just the option to get a crafting result or any missing ingredients from the connected corporea network, and to use the corporea request button. Same mana cost for item requests apply, where all requested ingredients count separately. Operation priority would be: If the item can be crafted with local resources, do so. If not, but the item is available in the network, it is requested directly. If the item is not available in the network, it will be crafted using as many locally available ingredients as possible, but any missing ingredients are requested from the network. There would need to be visual indicators for what's going to happen if a stored recipe is requested.