Yes, the internal rod-spring thing likely has a worn spot (or corroded). You can try swapping the internal from the passenger side to the driver's side..... if it doesn't look like the bottom one in the photo attached (that was my passenger side). The only way you will know is to take it out and look. It is some work, but really not that hard. To get the window regulator out to work on it, you will have to:
1. Remove the interior door panel.
2. Roll the window down as far as you can.
3. Remove the top/rear (one piece) window glass channel (pinch and pull it right out).
4. Disconnect the glass from the regulator (a nut) and slide the glass down as far as it will go (to the bottom of the door).
5. Remove the interior window scraper seal (pulls right off).
6. Remove the triangle window (two screws on top of door and one bolt inside door...and a good tug).
7. Take the window glass out now.
8. Drill out the aluminum rivets holding the regulator in (around 6....easy) and drill out the two rivets holding the strap across the opening (you'll know). Replace with short nuts, bolts, and washers.
9. Jockey the regulator out.
10. A couple of screwdrivers and pliers will bend up the bottom of the regulator to pull the rod-spring thing out.
If you jump all into it, it is a good time to:
1. Replace the outside window scraper seal since it is likely hardened and broken up.
2. Replace the roll-up window weatherstripping on the triangle window channel (called a glass division bar). Buying it new is pricey, but you can find weatherstripping that will work in the junkyard if you are willing to search.
3. If you have black metal trim around your window that is peeling, it is a good time to remove it (pry gently from the inside), and strip it down. Heat gun, putty knife, 240 grit sand paper, and a scotch-brite pad will do a good job there.
In my limited observation (my truck and at the junkyard), the passenger side tends to experience the corrosion like the bottom item in the photo.
The pieces in the photo are exactly the same on manual regulators...whether, left side, right side, front, or rear. You can use this internal piece from the rear window crank of a Cherokee to fix yours. I do not know if this internal piece is the same on the power windows. I haven't had a reason to check. I would recommend that you PERSONALLY look at that in a junkyard if you have no other options.