Sounds to me like WinPE does not have the proper storage drivers for that model. It's either laying down the image but not in a way that the BIOS can see, or it's using the wrong boot settings (e.g., booted Legacy mode, imaged Legacy mode, but BIOS is set to UEFI, or vice-versa)
1.) What version LDMS are you using?
2.) What is the specific model number of the G1 (as returned by entering "wmic csproduct get name" in the command prompt)? 3.) What BIOS settings are you using? (Legacy BIOS or UEFI, SATA operation mode, fastboot mode, TPM / Secureboot status, etc)