RESOLVED!
TL:DR
I followed the instructions at rmbp-crash to remove the Thunderbolt Ethernet driver and my MBP has now been stable for 24 hours. I can't use ethernet over thunderbolt but that's a small price to pay for an usable system.
Many thanks to Audit13 over at at macrumors.com for pointing me in the right direction.
Longer version if it will help anyone:
Unmodified 15' Mid-2014 with Retina display and GeForce GT 750M (MacbookPro11,3) that had been stable for 8 years started failing after an attempt to roll back from Big Sur to Catalina by reformatting the disk and restoring from a Time Machine USB disk. The failure would occur anywhere from a few seconds after power on to a couple of hours and followed a pattern reported by many others - the screen will go dark while the keyboard lights stay lit. In about 3 seconds the fans will start to rev up and at around 5 or 5 seconds the machine will power down. Pressing the power button brings the machine back up with no indication of failure.
Built in hardware diagnostics and extended hardware diagnostics run by the Apple store indicated no problems except for high cycles on the battery.
The problem occurred with standard Catalina/Big Sur/Maverick and no third-party software. in Maverick, the original OS the machine shipped with, the screen would freeze and require a hard power cycle to recover.
PRAM/SMC reset did not help.
The logs showed the following (from one of the Catalina installs):
log show --predicate 'eventMessage contains "Previous shutdown cause"' --last 24h
Filtering the log data using "composedMessage CONTAINS "Previous shutdown cause""
Skipping info and debug messages, pass --info and/or --debug to include.
Timestamp Thread Type Activity PID TTL
2022-08-06 16:12:42.684066-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -128
2022-08-06 16:18:18.683751-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -128
2022-08-06 16:40:13.743765-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -128
2022-08-06 18:22:33.683862-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -128
2022-08-07 06:35:41.696445-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -128
2022-08-07 11:40:19.690762-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -128
2022-08-07 13:37:31.722643-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -104
2022-08-07 13:52:19.681924-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -104
2022-08-07 14:25:11.718230-0400 0xb5 Default 0x0 0 0 kernel: (AppleSMC) Previous shutdown cause: -104
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Log - Default: 9, Info: 0, Debug: 0, Error: 0, Fault: 0
Activity - Create: 0, Transition: 0, Actions: 0
All the -128 errors are the spontaneous shutdown while using the machine. The -104 are when attempting to create a TimeMachine backup using an USB powered disk. All failures occurred while the machine was connected to the power adapter.
I thought my google foo was okay but I never stumbled upon this answer, wish I had before spending close to a month on this.
Cheers all,
Nitin