Ref Attachments - Item Types

Is there any way to attach Item Type Information to Ref attachments?

Simple use case:

I have a building with four floors.

Each floor has a core which is pretty much identical.

The user would attach the core model four times in the assembly/composition model at different z-elevations.

But ideally, he would also need to tag each Ref attachment with an Item Type... to allow each floor model to be recognised etc propertly.

I think that Item Types can be attached to cells, but most user would gravitate to Ref attachments for a lot of things.