Do we want to call this a nonce? For modes like CBC if you reuse an IV the worst you risk is leaking that two messages share a common prefix. However since OFB uses encryption to generate a keystream that is used as a one time pad reusing this value within the same key makes it possible to recover plaintexts.

So what I propose is that we use the determination of how bad it is to reuse to determine if we call it nonce or IV.