More black comedy than tragedy
If Olivier's Hamlet was oedipal, and Branagh's narcissistic, Tennant's seemed more comedic (manic?) to me. Even Stewart's infamous shrug seemed to be winking to the audience. I bet their stage production was very entertaining in that they seemed geared toward interacting with the audience. If this were filmed in front of an audience, you'd get the feeling that this was more black comedy than tragedy.
This version had to different in some way. In the DVD commentary it was mentioned that there was unexpected laughter at a couple of points during the stage performance. I couldn't buy Tennant's portrayal of melancholy at the beginning, and even the "To be" soliloquy had facial expressions that were exaggerated but not for the right dramatic effect, IMHO.
The ending seemed rushed. The meat of this performance were the manic moments, and I couldn't get emotionally invested in the more somber scenes.
I just finished watching the DVD and thought the technical quality was lacking. During the graveyard scene the highlights on Gertrude's forehead were orangey and blocking up. Maybe the Red camera is good for low light situations, but not for high contrast scenes where the lighting ratios are higher.
The cracked mirrors were too much for me. If's Shakespeare's words couldn't do the characters justice, I don't think overused props would. The CCTV didn't do anything for me, nor the film diary with the scratched film special FXs. Did he have a projector to watch these? I was half expecting him to be posting on Facebook or Twitter.