If it only does it on SS4 then it may be the disc. It's documented that SNK has made a bad pressing for Double Dragon for the NGCD so it's not far fetch thinking that your SS4 is also bad.
If the problems existed on other games too then that would be a different story.
I think there an emulator that lets you play using the discs, try downloading it and playing your disc on your PC, if it has glitches then it is your disc.