Can quoted (i.e. citation) text retain its original sentiment?

I believe the answer actually comes in the construction of your sentences. We have created a written method of preserving these tokens: quotation marks. As such, the sentiment of "Well done!" remains sarcastic, no matter how many retellings are completed or how the quotation is reported. The quotation construction explicitly denotes that a piece of speech is being transferred from the past to the present, and as such will not change its original intent.

Per your examples, a sincere repetition of a sarcastic comment is entirely possible; however, the comment remains sarcastic. If it did not, we would never be allowed to complain about reporters taking comments out of context. The context, to include sentiment, is entirely part of the formation of quotations.

So...well done?