Quick clarification

First can you set your speakers to small or large? that would have alot to do with the LFE, there would be no diffrence in what is sent, just as long as you have bass management options.

Let me explain a little better...

If I have a 2-ch system that consists of...

2 Speakers
Integrated
Sub
DVD player as source

This is used as a music only system however if I hooked up my DVD-player to a TV and watched movies on this exact system would the LF material being played differ than if I was to have a full blown 5.1 system? I am wondering if the bass informatiion being sent in a 5.1 differs because it is a dedicated mixed channel. I don't have bass managment. My subwoofer is connected via speaker terminals, no dedicated subwoofer connection.

thanks

No, as a matter of fact if owners have full range speakers that go down to 25hz or below a sub is actually a bad idea.
Think about it, if you have 2 full range main speakers you could set them to large with no bass limitations, therfore you would get bass in the right side if the material called for it, or left if it was needed, if you throw a sub into it, it is always a mono source. the best way to run movies if you have deep reaching speakers is to set them to large with no sub woofer.
The bass you will get will be just fine as long as you tell your gear the number of speakers you are running.