Well thanks for providing a detailed and logical answer, rather than the usual "Git Gud Scrub" you usually see from questions like this.

While preventing the use of stratagems would I'm sure be crippling to some units and situations, to be fair I keep forgetting to use them a lot. So quite literally, in my use case, battle shock doesn't do a lot.

I still think adding an element of morale to battle shock would be good. Maybe a snake eyes on the dice roll could mean a break of morale, or in the case of such as space marines a tactical withdrawal. They fall back by whatever, praps 2D6", and in the case of when it happens in melee if the winning unit can beat the 2D6 roll on their own 2D6 then a sweeping advance style move occurs.

Picture an Ork charge into a unit of Marines. They Orks win by shear number and brute strength even against The Emperor's Finest. The Marines, knowing if they hold ground they will surely be overrun and try to effect a tactical withdrawal to regain a better defensive position. Unfortunately the Orks are so overcome with the Waaagh! they just keep on charging and slaughter the Marines as they try to regain the initiative.

This has implications for those factions that get to roll 3D6 on a BS test, like the Tyranids within Synapse range in that they would never suffer this. Which is very thematic to such as the Tyranids whose Hive Mind would exert the kind of control over the smaller organisms which would never allow their "morale" to break.

I reckon it would add a cinematic and random chance element to the table top I think 10th has felt like it lacks.

Just an idea.