Does Dolby Digital's bass management send ALL of the base (below the selected cross over) that would otherwise exist in the front, center and surround channels to the LFE? Or does DD's bass management send the bass from only the L & R fronts to the LFE?
Your're mixing two different concepts. 'Bass' and 'LFE' are both low frequencies but are diistinct concepts and how and where each gets routed depends on a number of settings in the receiver.
'LFE' is a discrete channel on the disc that is limited to 120 HZ and below. Because it contains
only very low bass it is called the Low Frequency Effects channel. In a system with a subwoofer, LFE always goes to the sub. If there is no sub, LFE is routed to the front speakers (and most receivers will automatically set the fronts to Large if sub=no because Large means the speaker gets all frequencies).
'Bass' is low frequency information that did NOT come from the special .1 channel on the disc. Any channel set to Small will have the bass below the xover setting sent to the sub and similar to routing of LFE, if there is no sub, it gets routed to the front speakers.
Nothing is ever routed
to LFE. The LFE channel either exists or it doesn't.