I saw the TCM cut about a year or so ago, first and only time I've seen the film. Felt like it was overkill to be honest. But a Cinerama film needs a large screen and venue.

That said, I became fascinated by the presentation history and editions. From following different threads and articles:

The TCM cut is indeed the Laserdisc extended version in SD, and an old SD at that. The added footage (+/- 20 minutes or so) came from a used promo 70mm reel and was not properly restored. They just did a simple film to tape transfer at the time to keep costs down. It looks quite dated today. IIRC, the TCM version was at least in scope 2.35, perhaps a little wider but it was hard to tell on an old crt TV. It should for all intents and purposes be the same as the Laserdisc, but there may be further differences.

It's really going to be those added scenes that are the difference. The original DVD release (yellow spine) had scenes on the flipside of the disc, but I don't know for sure if this included those added for the extended LD/TCM version. They should be, and this would would give you a professional transfer of the early 90's era digital video which would look much better than any cap of the LD. Then it would be a matter of cutting the footage back in to whichever version you own/prefer-though adding this to the new Blu-ray would be a bit of a jump back and forth in quality.