I think this is the best I can do on guesstimating thickness.
The bottom part:
I modified this to 'extend' the part around the av multi-out slot to the height of the base at its highest point at the back.
The line here for the total height is 3 times the length of the opening itself.
In real life on the current model, the AV multi-out is 10mm high.
That means the base here at the back is 30mm high. (lets assume the base is of even height also, so 30mm high at the front).
Then the top part (closest we have to a head-on shot):
Measured at two points the height seems to be ~2.5x the height of the blu-ray lip. On the current model the lip is 5mm high. So that would suggest a height of 12.5mm.
That's at its shortest point. The top part curves. So let's generously assume that at its thickest it's 2x its thinnest point, or 25mm. Perhaps based on the other pics someone might be able to work out a more accurate ratio of thinnest to thickest..but I'm assuming it's 2:1 which I think is generous.
If these two bits are sandwiched together, if there's no intermediate bit, that suggests a total height or 'thickness', at its thickest point, of perhaps 55mm. At its thinnest, perhaps 42.5mm.
The current model is 98mm at its thickest. So perhaps a nearly 50% reduction, which would be a much bigger reduction than seems apparent on the other dimensions!
Let me know if 'i'm doing it wrong'..