Yep, the LD uses the continuous version of this logo. I just checked the disc and it segues straight into the UA blue letters as this was the original MGM/UA logo done for the mid to late 80's.

EDIT: I got a bit keyboard tied. The LD uses the MGM Communications into the red bar zooming out blue UA letters, NOT the simple blue text version.

http://www.youtube.com/watch?v=Z7YFG5BYkdE

The VHS version is from the 80's CBS/FOX VHS which has the same logo just with added Fox copyright and the Red Cross disclaimer that is on some video versions and may have been theatrical. For some reason the LD does not have this and is directly print sourced. (not the logos from what I can tell)

TLD would be the film to use this as it was correct for 1987 when this logo was introduced. The silver MGM/UA Communications Co. would only be on TLD and LTK as this lasted from 1987-1990.

AVTAK had the logo which had a line reveal into the UA letters. Octopussy was the last film to have the old MGM/UA Lion logo.

I didn't think the BDs were different from the UEs logo-wise and for legal reasons, all new transfers have the new digital Leo logo with the 2006 or newer variant on the silver UA letters.

http://www.myfilmviews.com/2012/03/15/the-story-behind-the-united-artists-logo/