There has been some very good technical explanations thus far. Just adding a couple of extra points of clarification.
LFE = Low Frequency Effects and is strictly an AV/Surround Sound term. It’s the .1 or .2 part of a 5.1 or 7.2 system reserved for sound effects like explosions. The subs are sent 100% of the LFE content + whatever content is sent from the main and surround speakers as per their crossover settings, unless they are set to large. The sub is simply configured to bypass it’s internal crossover if the AVR is managing the signal sent to the subs.
In a HiFi stereo set up, there are many examples of music where lower frequencies are coming mostly, or exclusively from one channel or the other, or separate sources of low frequencies coming from left and right (E.G., Friday Night in San Francisco.).
So with stereo subs, while it is ideal that you can’t "hear" the localized subs , each sub should seamlessly augment the L or R main. Yes there will be some mono-blending.
The other advantage of treating subs as stereo pairs, is adjusting for the room (assuming you have good EQ capabilities built in or use external DSP). As an example, many of us have rooms that are not acoustically symmetrical, even with treatment. So using REW measurements, the EQ settings of my subs are each set differently.
Subs also pressurize the room. In my case they are behind the MLP, closer than the mains, to pressurize the open space behind the MLP and to tame bass build up in the corners of the front wall. (Pics in my virtual system). I cannot tell that I have subs behind me. My baby MBLs just sound really big.
Point is, properly located and configured stereo subs do more than just augment omnidirectional bass.
If you have incremental phase adjustment, rather than just 0 or 180 like REL, you can potentially bypass the sub crawl mentioned earlier by reversing the polarity on your speaker taps and playing a tone at the crossover frequency to L/R speakers separately. Adjust phase for each sub until the tone is the quietest. They are now in phase. Don’t forget to put the speaker cables back to the correct polarity.
@larryincmh I have a Yamaha AVR powering the living room AV system. Are you using stereo mode in the app or Patterns to switch from Stereo to Surround? Depending on your subs, Patterns might give you more options to set up the subs in "full stereo" vs. "mostly-stereo" mode. Just a thought.
Lastly, if you choose a straight-up high-level / speaker-level connection, you can connect from the speaker tap(s), which may be more convenient that connecting to the amp, or use less wire.
FWIW, hope it helps.