So I tried it, and it sounded like crap like you said -_-, but I got it to sound great after a bit of messing with it ! with the default aux out on the amp it would send lower mids to the sub like i feared.
If you are interested I did this using the HD audio device on my computer. I plugged in the sub to the center / sub port on the sound card and configured the following:
I selected 5.1 but i turned off center and rear, and turned off the check box for full-range surround speakers. Then I turned on bass management which enables a filter on the internal dac to become a cross over on the sub.center out. Now it sounds like a proper sub filling the lows rather than the lows and low mids. Also you can enable room correction and set everything to default so it does not mess with the audio but now you have a gain control for the sub out:
using it for a few hours, the sub amp has not gotten any hotter than normal with the sats connected. if alli use is my computer I do not think for my first budget system I will need a dedicated sub... that said i am looking to make this my bedroom setup and start looking for a high end 2.1 channel setup. I love the logitech sub, but the satellites had shitty *** mids and harsh highs. Now it is perfect for the price !