No, this is not correct.
Shock tune does not change the arc of the suspension, only the level of force required to move it through its arc.
This is why anti-squat is described as a percentage.
This should help: Enginerding: What Is Anti-Squat & How Does It Actually Affect Mountain Bike Performance? - Pinkbike
Using our wood analogy, anti-squat is how much force goes up or down based on the force on the string. The shock compression tune would be like a second person putting their finger on the upward movement of the wood.
Those two forces are independent of one another and while they both play into how the bike rides, they don’t affect each other.