I'm one of main crew in SAS updating missile functions.
I don't think such "flight profile" function is needed for Kh-20 though ..... other much modern cruise missles like Kh-22 , Kh-55 , Harpoon / SLAM are needed it indeed.
Today's missile code doesn't have any flight profile functions. All AGMs go straight to the target.
I have some plans how to implement flight profiles setting different parameters for each missiles or giving Terrain-following function in low altitude etc. , but I have too less time than too much projects touching.
More superior or urgent projects are many than cruise missile updating.
* * *
The reason why I don't think flight profile functions is not so important for Kh-20, about its old guidance system.
Kh-20 used INS + Manual radio command guidance.
The radio commands for Kh-20 how to fly was sent from its carrier Tu-95 by the operator riding on it.
So, the carrier Tu-95 had to catch Kh-20's shape by its nose radar till hitting the target. It means Kh-20 had to fly straight from Tu-95 to the target keeping on the line of both.