You bet...your Pioneer is much (and I don't mean a little) better!
All HDTV monitors (that I know of) upconvert a normal 480i (meaning 480 lines interlaced) scanned picture to 480p (meaning 480 lines progressively) scanned.
This is accomplished by interpolating (ie...making it up) an imaginary line from the information of one scan line and the next and painting that between the two.
This is commonly call a "Line Doubler". A "Scaler" is an even a more complex program that looks at the picture that happens before and after a scene (or field) as well as the lines themselves.
And to add to your (no doubt) confusion, there is also the case that film runs at 24 fps (frames per second) while video is 30 fps. The way to make film look good on a video projector is to do what is called a 3/2 pulldown, where some frames are shown twice and others are shown 3 times to match the 24 fps to 30 fps.
And LASTLY, since most TV that you watch is "square" (a 4:3 ratio) the new sets are rectangular (16:9) and so, to make the 4:3 fit the 16:9, the picture has to be distorted (stretched) to fit. That is an algorithmic equation as well, and some are better at it than others.
WHAT I am saying is that your Pioneer Elite does all three jobs (Line doubler, 3/2 pull down and resizing) far better that the Mitsubishi.
It's not even close (though the Mits are getting better...their first line doubler was stomach churning horrible)