Several Rhino documents at once
One Blender scene can hold any number of connected Rhino documents. Each connects with its own source_name and everything it creates is namespaced by it, so two documents containing an object with the same name do not collide.
Each source gets its own box in the sidebar with independent pause, rename and remove controls. Delete all clears every source; the per-source trash icon clears one.
Opening a second Rhino with the same document name evicts the first connection. Use Pin source name to override if you genuinely want two connections from the same filename. The pin belongs to the document you set it on: each open file keeps its own, so opening another file never inherits it.