[LMH]

I don't really see what the discussion is. If your Cobra didn't originate at AC in England in the 60's, then it's a replica of those that did. Varying degree's of replication, yes with some replicating originals more than others but still a replica. The continuation cars are still replicas.
The OP's question is do owners of original cars get tired of being asked if their cars are kit's, replica's, copy's or whatever other term the low-information voter uses... I bet they do. If the low-information voter wasn't low-information, he (or she) wouldn't need to ask. I'm sure it happens as much as replica owners are who asked the same question. Just remember they're low-information!
Larry