[Sprint LG Optimus G] autoprime:
.cab files can be flashed in LGNPST.. I'm just not 100% sure it's possible to flash them while in download/emergency mode. To flash the .cab.. have the device booted up into the rom and have ##DIAG# mode enabled.

.bin should be ok. 1.31GB... I just flashed it to my phone. Had no issues rooting... but using the FreeGee-beta apk has left me stuck on an "LG" screen at boot. I'll report back after I successfully unlock.. but the .bin file itself is good and does indeed work as it should.

Update

I've unlocked successfully after LGNPST'n ZVB... freegee will be updated to fix this.

Just flashed AOSP rom in TWRP. Looks like were good to go.

LS970ZVB_01.bin offsets below

0(null)tart Factory Download
0[EXTENDED SUPER BOOST] ####
0****************************************************************************
0- LS970 PartitionTable Info -*
0- LS970 Software Version :
0- 1368915968 Bytes
0****************************************************************************
0 | Part Name | Logical Start | Logical Size (KB) | Start Sector | No Of Sectors (KB)
0 | PrimaryGPT | 0x 0 | 0x 80000 ( 512KB) | 0x 0 | 0x 4000 ( 8192KB)
0 | modem | 0x 80000 | 0x 3700000 ( 56320KB) | 0x 4000 | 0x 20000 ( 65536KB)
0 | sbl1 | 0x 3780000 | 0x 80000 ( 512KB) | 0x 24000 | 0x 400 ( 512KB)
0 | sbl2 | 0x 3800000 | 0x 80000 ( 512KB) | 0x 24400 | 0x 400 ( 512KB)
0 | sbl3 | 0x 3880000 | 0x 100000 ( 1024KB) | 0x 24800 | 0x 1000 ( 2048KB)
0 | aboot | 0x 3980000 | 0x 80000 ( 512KB) | 0x 25800 | 0x 400 ( 512KB)
0 | rpm | 0x 3A00000 | 0x 80000 ( 512KB) | 0x 25C00 | 0x 2400 ( 4608KB)
0 | boot | 0x 3A80000 | 0x 700000 ( 7168KB) | 0x 28000 | 0x C000 ( 24576KB)
0 | tz | 0x 4180000 | 0x 80000 ( 512KB) | 0x 34000 | 0x 10010 ( 32776KB)
0 | misc | 0x 4200000 | 0x 800000 ( 8192KB) | 0x 44010 | 0x 17FF0 ( 49144KB)
0 | system | 0x 4A00000 | 0x 8000000 ( 131072KB) | 0x 5C000 | 0x 40000 ( 131072KB)
0 | system | 0x CA00000 | 0x 80000 ( 512KB) | 0x 9C000 | 0x 12F0 ( 2424KB)
0 | system | 0x CA80000 | 0x 7E00000 ( 129024KB) | 0x 9D2F0 | 0x 3FCF8 ( 130684KB)
0 | system | 0x14880000 | 0x 7E80000 ( 129536KB) | 0x DCFE8 | 0x 40308 ( 131460KB)
0 | system | 0x1C700000 | 0x 7E00000 ( 129024KB) | 0x 11D2F0 | 0x 3FCF8 ( 130684KB)
0 | system | 0x24500000 | 0x 7E80000 ( 129536KB) | 0x 15CFE8 | 0x 40308 ( 131460KB)
0 | system | 0x2C380000 | 0x 7E00000 ( 129024KB) | 0x 19D2F0 | 0x 3FCF8 ( 130684KB)
0 | system | 0x34180000 | 0x 7E80000 ( 129536KB) | 0x 1DCFE8 | 0x 40308 ( 131460KB)
0 | system | 0x3C000000 | 0x 7E00000 ( 129024KB) | 0x 21D2F0 | 0x 3FCF8 ( 130684KB)
0 | system | 0x43E00000 | 0x 7E80000 ( 129536KB) | 0x 25CFE8 | 0x 40308 ( 131460KB)
0 | system | 0x4BC80000 | 0x 5380000 ( 85504KB) | 0x 29D2F0 | 0x 3ED10 ( 128648KB)
0 | system | 0x51000000 | 0x 80000 ( 512KB) | 0x 2DC000 | 0x 40000 ( 131072KB)
0 | system | 0x51080000 | 0x 80000 ( 512KB) | 0x 31C000 | 0x 3540000 (27918336KB)
0 | recovery | 0x51100000 | 0x 800000 ( 8192KB) | 0x 385C000 | 0x 1E1C00 ( 986624KB)
0 | BackupGPT | 0x51900000 | 0x 80000 ( 512KB) | 0x 3A3DC00 | 0x 400 ( 512KB)
0Dload Nop0 3.607393e-313ature Query0Protocol Ver : 3
0 0X0.000200P-1022lgotrim Ver : 0x4000
0PacketLen : 0x00040000
0WebDownload : 0
0(null)treamDownload : 0
0 3.182994E-313mmc Init
0Partition Count : 37======================================================
0======================================================

0Download mode locking
0Download : PrimaryGPT 0x 0 Size: 0x 512Kb, File Offset: 0x 100000
0 3.182994E-313mmc Init
0Partition Count : 37======================================================
0======================================================

0Download : modem 0x 800000 Size: 0x 56320Kb, File Offset: 0x 180000
0Download : sbl1 0x4800000 Size: 0x 512Kb, File Offset: 0x3880000
0Download : sbl2 0x4880000 Size: 0x 512Kb, File Offset: 0x3900000
0Download : sbl3 0x4900000 Size: 0x 1024Kb, File Offset: 0x3980000
0Download : aboot 0x4b00000 Size: 0x 512Kb, File Offset: 0x3a80000
0Download : rpm 0x4b80000 Size: 0x 512Kb, File Offset: 0x3b00000
0Download : boot 0x5000000 Size: 0x 7168Kb, File Offset: 0x3b80000
0Download : tz 0x6800000 Size: 0x 512Kb, File Offset: 0x4280000
0(null)kip misc Partition 0x04300000
0Download : system 0xb800000 Size: 0x 131072Kb, File Offset: 0x4b00000
0Download : system 0x13800000 Size: 0x 512Kb, File Offset: 0xcb00000
0Download : system 0x13a5e000 Size: 0x 129024Kb, File Offset: 0xcb80000
0Download : system 0x1b9fd000 Size: 0x 129536Kb, File Offset: 0x14980000
0Download : system 0x23a5e000 Size: 0x 129024Kb, File Offset: 0x1c800000
0Download : system 0x2b9fd000 Size: 0x 129536Kb, File Offset: 0x24600000
0Download : system 0x33a5e000 Size: 0x 129024Kb, File Offset: 0x2c480000
0Download : system 0x3b9fd000 Size: 0x 129536Kb, File Offset: 0x34280000
0Download : system 0x43a5e000 Size: 0x 129024Kb, File Offset: 0x3c100000
0Download : system 0x4b9fd000 Size: 0x 129536Kb, File Offset: 0x43f00000
0Download : system 0x53a5e000 Size: 0x 85504Kb, File Offset: 0x4bd80000
0Download : system 0x5b800000 Size: 0x 512Kb, File Offset: 0x51100000
0Download : system 0x63800000 Size: 0x 512Kb, File Offset: 0x51180000
0Download : recovery 0xb800000 Size: 0x 8192Kb, File Offset: 0x51200000
0Download : BackupGPT 0x47b80000 Size: 0x 512Kb, File Offset: 0x51a00000
0
*********************************************************************************************
0 1.846136E-312lapsed time 0:09:14.3 Sec (0.0 sec) file size = 1328640KBytes Speed = 2398 Kbps
0 0X0.000620P-1022verage RX time = 18.89 msec total RX time 98.1 sec total packet= 5191 size= 1297MBytes
0 0X0.0003F0P-1022verage TX time = 87.90 msec total TX time 456.3 sec
0Write 1368915968 bytes, compressed 1032100309 bytes