Chris: Nope, it won't. Let's say you cut your screen door in half (don't know why you'd want to do that but assume you have for the sake of this discussion). Does the half screen react differently when you open and close it? It doesn't. Does it react differently when you put the top half of the screen back together. It doesn't. The traveler is only reacting to the angle of attack and it doesn't care what amount of mainsail you are flying.
Now that you experimented with the traveler do you think you'll use it as often as you can in place of the mainsheet?
This is what I think is great about this forum. Chris, and other folks like him, digested the info he obtain here and took the time to see if it worked for him. Apparently it did. If it didn't work he'd go back to what did work for him.
Over the many years, when I expound on some procedure, I always say "this is what works for me and you should see if it works for you". That is my "out" even though I know whatever I'm talking about works because I only expound on stuff I've done and I know work. If I don't know the subject being discussed I don't comment. Otherwise I'd have RichH, Stu J, Alan, Joe from San Diego and a few others all over me. Sometimes they catch me but not often.