No experience in this case here but it looks very tough to unsolder, specialy when you cant just clip the screen off and desolder the pins 1 by 1. Where i worked years ago, they used a solder bath for this kind of stuff. It looks like u ve to desolder it from the mainboard (underneath) anyway.
Its worth to check out the old elektron-user forum and do some research, i remember some guys that replaced their LCDs there .