You are absolutely correct. More cone excursion = more IM distortion and more Doppler effects. Taking that demand from the main amp and main speakers is a really wonderful thing.
I do think my system would sound better with a subwoofer for music, I just got it to sound so good already I wasn't willing to add the subwoofer. In my case it's a complex undertaking because of the way my 5.1 and music systems are merged together I had a choice of using the sub for movies or music and movies won.
I will probably still attempt this later this year. :)