It was shown by the BBC in December 1994, as part of their Xmas film line-up: which was how I saw it. I didn’t record the transmission and cannot remember anything that would help us to ascertain which version it was.

However, The Godfather Museum once again has the answers! 😄

http://godfathermuseum.blogspot.com/2012_05_02_archive.html

When it was released to home video, The Godfather III ran nine minutes longer than the original theatrical release. This “Final Director’s Cut” became the official version of the film, although the theatrical cut was still shown on HBO and other cable channels for several years.

If a recording of one of these airings can be tracked down, it could be used as a basis to at least gauge what would kind of editing would need to be performed to produce a replication of the theatrical cut, using the Blu-ray etc. 😉