Got a bass management question for any insider who genuinely understands this stuff. Please don't give me misinformation

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Given a 5.1 analog line signal, the normal LFE channel line reference level is 10dB below that of the 5.0. In the case of bass management, my understanding is that the redirected bass content from the selected 5.0 channels has to be attenuated by 10dB before summing with the LFE in order to maintain the correct relative levels.
Therefore, the final 0.1 channel ouput should exactly equal the normal LFE signal plus the 10dB attenuated redirected bass -- no other changes.
Is this correct? Or am I overlooking something?
TIA -- Trevor

PS. If an increase in headroom were made to allow for the larger summed signal -- say 5 or 10dB, then I would expect both the -10dB redirected bass and the original LFE to require this additional headroom allowance -- and so the summed signals would be attenuated to -15dB or -20dB total (as an example). Given processors/receivers typically only allow for a 10dB boost on the LFE input, adding such additional headroom at a source would seem to create another problem -- how to restore the levels.
If such a headroom increase were applied to only one part of the bass managed signals (say the original LFE only), then the redirected bass would be at -10dB and the LFE would be lower. What would the correct boost be if the two components are no longer in correct relationship with each other? This would seem like an undesirable practice to me.