Okay, so there are a few differences between BATB on 35mm and home video. They are quite substantial.

For comparison I like to mention Aladdin. Aladdin has bright vibrant colours, and dark blue nights. The bluray looks about 80-90% accurate in terms of colour and overall look of the film, and there are a few subtle differences in the pallet in some areas, and there is some animation that was tweaked for the IMAX version (though these are more subtle than the animation changes done to Lion King).

BATB looks very different on film to any home video release. It’s a lot darker than the VHS/Laserdisc. I’m told this is because in those days it was difficult to keep dark scenes without loosing the picture entirely, and detail decreased hugely the darker the scene. But the colours and such are at least mostly accurate (although there might be animation changes, that won’t be something I can confirm until we can see them side-by-side). So the VHS is maybe 70% accurate or so. The DVD and Bluray look completely wrong. That is to say maybe 10-20% accurate (accuracy is probably limited to the darker blue night scenes that have little colour).

The DVD/Bluray have brand new colour pallets, pulling the CAPS files directly and making whatever changes to the colour that they wanted as they went along. It’s not yet clear if this was a regrade or recolouring, and I’d love to be able to apply DrDre’s color tool to it to find out. Although I believe it was recoloured for the IMAX version and that the changes were made to the CAPS files themselves rather than simply applying a different colour grading. There are also substantial animation changes on DVD and Bluray that were made, again believed to be from the IMAX version.