Right or wrong this seems like a very slippery slope. A scope is a scope I get it, but do you state on your cocktail napkin certificate that "These parts are not produced to ISO9001:AS9100 standards"? If your procedures don't explicitly state that non AS9100 parts produced outside of the scope will at least state as such on the certificate or packing slip or use other documentation to show separation agreement this seems like bait and switch and false advertising to me.
I would guess that not a single customer of ours has ever read our scope. Half of them do not even specify or flow down ISO9001 requirements.
If you did not have an agreement in writing that your bagels could be produced outside of the producer's scope and you found out after the fact, that would be your last order from them, I'm sure.
If you made widgets and paperclips but widgets were only mentioned in your scope, but someone gave you a contract to produce flight actuators or ball screws for flap struts, how should we internally handle that?