As part of a music technology BTEC I once had to recreate Oh-bla-di in a studio. Never again. Having said that, I found working my way round a song I wasn't keen on helped me focus on the equipment and what I was actually trying to do. Did you ever find that in your early engineering days? (He says, trying to shoe-horn a question in here)
I cut my engineering teeth recording terrible bands with awful songs, and after a couple of years I began to think I was useless and not cut out to be an engineer.
Then one day I accidentally got given a really good band to record and to my total surprise I realised I'd actually become quite good at it.
When I say 'good band' they were actually pretty dreadful [I still have the cassette] but they were all seasoned session musicians with excellent skills and equipment, which, from an engineering point of view, makes all the difference.
I recently listened back to a lot of what I recorded and mixed during those early days, around 1991 - 1994, and I was surprised to discover how good a lot of it was. As art it was pretty daring and experimental even if the playing was a bit ropey and the equipment cheap and poorly maintained.
The rest was just turd-polishing though.