See I love Hayseed Dixie - and while I guess it could be a "parody" recording, I never looked at it that way... what I love about that record is that it shows that a great song will transcend genre -- there are a few tracks ["You Shook Me" being one of them] that I think almost work BETTER as bluegrass songs. Could just be my twisted love of Bluegrass - I dunno - but they are great songs, and to me they transcend genre.
While "Lounge Against The Machine" was intended as a parody recording, that too shows that good songs can go anywhere and still be good - where "eh" songs need to stay in their original presentation to work.
I could be wrong, but that's my take on it and I'm sticking to it... and while I think the second "response" song is NO WHERE NEAR as good [or even in the ballpark] its still better than so much other crap I'm subjected to on a regular basis that I'm willing to give its shortcomings a pass.
As always - YMMV [though I am intrigued about why you're not into Hayseed - if you feel like typing the tale I'd be more than interested to read].
Peace.