Stay where you are Richard!
All joking aside you are spot on, but largely because they are all played by the same musician on the same instrument, and those two factors make a far greater difference than the strings. They were mostly recorded with the same mic and probably in the same room, which also play their part. The problem is that some strings suit some instruments better than others, while some strings suit individual playing styles better than others (for example some of those strings sound quite muddy and indistinct to my ear, and this can be made a whole lot worse by an instrument with the same tendencies, or a player whose style does the same).
Or so the rabbit tells us.......