In addition to an improperly sharpened chain that s219 mentioned, the saw can cut on a curve if the bar rails are worn unevenly. When it gets bad enough, the bar will bind in the cut. You'll usually notice binding from a curved cut as soon as the back side of the bar enters the cut.
Another problem (sometimes seen in addition to the uneven rails) is getting a burr on your rails.
You can remove the burrs and square up the rails with a flat file, but it's easier to do and you get better results with a
bar rail dresser.
I would take a good look at your bar. If the poor lube messed up a chain that badly, it's likely it messed up your bar as well.