A file named "*.img" is not compressed. It is a byte-for-byte exact copy of a computer partition or filesystem. It could be any type of filesystem- NTFS, FAT32, Ext4, ISO, etc. Within an image file, there are often many files, or even an entire operating system.
The TWRP image you linked is a community bootloader replacement. Since the LG Motion bootloader is locked, that image file cannot be used on our phone.