Is it even recommended to send them back to them for faulty device replacement though? I would not trust them handling my Ledger. Particularly with a closed source component they can mess with which may have easily stored information I definitely would not want it to.
No it's not recommended, and even if you reset your device who knows what can happen during delivery, not to mention cost of doing that would be much more then you paid for this bad device.
DIY repair and ordering cheap display replacement from China is not that hard, I don't think there is any soldering process at all.
Ordering links and instructions for this can be found in the first post of this topic.