I'm not dreaming - these are great CD copies

I have an out of town friend who's given me some CD-Rs that he's made by simply copying music off of red book CDs. The music quality is extremely good - better than I'm used to hearing from my red book CDs. He's not an audiophile and has no idea what format is being utilized e.g. Lossless, etc.
Question - Can you really improve the quality of music from a red book CD by simply copying to some other format? If so, I'm boxing up all 300 of my CDs and asking my friend to copy make copies for me.