Not true.
The pieces will continue to follow the orbital path.
Nothing has changed except that there are now pieces.
The bits of Shoemaker-Levy 9 didn’t magically change path, they continued to “wagon train” along the same path.
If a comet disintegrates in space, free of external gravitational forces, then the pieces should stay on relatively the same path. If it is torn apart during a slingshot around the sun they will not. I don’t know what actually happened in this case but we will find out soon enough.