Would rather replace the display by myself and void the warranty instead. Or just buy a new one but my suggestion is, do not trust strangers, particularly Ledger employees, with your Hardware Wallet on their hands.
I also wouldn’t choose to send my device in for repair, I would try to fix it myself or buy a new one and smash the old one to pieces and throw it in the fire - $50 or $150 is not worth the risk, unless the device has never stored anything of value, or we got it broken.