I have added [music] in the above for clarity.
Ok

What you are measuring is a 10db difference on LFE between the Cinema and Discrete presets; this is correct.
Yes it's a correct behavior between the 2 presets. But the problem is not there.
The problem is the comparison with the same soundtrack sent to the optical G68 input, where the G68 is automatically adding the +10db boost on the LFE channel. (purely digital domain link).
Carl, you agree that there is no possible LFE level problem with such link ?
With the analog 5.1 output of the BDP83, i have to add this 10db boost in the player to reach the same level on the LFE channel when using the Cinema preset (the 1-2 db difference is a difference produce by the G68 input sensibility).
What you need to do is get a calibrated test disc (using Avatar or any movie sound track cannot give quantifiable results) and measure the LFE against the other channels.
With such a disk you will measure a correct LFE level only when using the cinema preset (that will do nothing to the channel level)
AND the 10db boost in the player LFE channel.
Serge.