To some degree it does. However, just slowing the burn down can improve quality quite a lot. And on a modern burner the amount of change it would make to use a different program is... negligible.
Now that's not to say there aren't good reasons to use one program over another. Nero, for example, on a routine basis seems to goon up their Video DVD template causing discs burned with it to be a bit flaky on some set-top boxes. They fix it one release, then screw it up again the next release. shrug