[derefr]

Sure, but those are produced by the cell at the behest of the viral code; not produced by the virus. The freshly-minted copy of the virus doesn't get to react to stimuli by producing proteins once it has left its host cell. It's a lot more like the relationship between, say, pollen spores and the gametophytes they contain.

To put it another way--a post-code and stamp on an envelope will get the postal system to deliver its contents to the right destination. That doesn't mean the contents are functioning to deliver themselves there; they're relying on a working mail-transport system that wants to take them there.