Tommy can be seen a lot during Alchemy, there are not direct scenes of him, but there is a reason for that, I think it was Joop de Korte Who explained that on Facebook long ago
When editing the Alchemy video, they noticed they didn't have enough close scenes of the musicians, so they hired a venue (can't remember which one), they put the music on and pretended to be playing.
One of the interesting things was that MK had thrown away his alchemy t-shirt and they had to do one with black tape on a white t-shirt for MK scenes.
Probably Tommy was back at the US at that time and wasn't worth to make him come back for that, that's why he is only on general views.