I have a 220, it is a PITA, I have taken it apart to repaste it. And yes, taken it apart. Even the display had to come off. However, I have two others - X1s - and they are a piece of cake. Just remove the bottom panel and the fan is right there.
No idea what that process is - I have a few t430s and have replaced each of their fans at least once. It's just a case of remove the k/b and top bezel, maybe one of the speakers (can't remember, but it's just a single screw anyway) and then the heatsink/fan. No need to remove the screen and all that other stuff in the manual. takes 15 mins max.