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From response to your post, it's obvious that not everyone associate ward with Robin due to the lack of recent adaptation use of the term. Personally I don't think casual viewers get it either.
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HOWEVER, whether the audience get it is not the point of ShoutOut, writer's intention is. Since it's unlikely that the Russo or Marvel will confirm such a minor detail, I think the best thing for you to do is calling this a down-played example, make it clear that it is not immediately obvious (due to lack of association), there is no WordOfGod but many websites have made the case for