Is there a ZvT/ZvP composition order?

As Z, if you want to play your opponent like a fiddle and manipulate what they're building, do we have a Unit composition order for that?

Ex. As a T you can build BCs, which you know this forces the Z to build corruptors. Then the T switches back to ground and the Corruptors are kinda useless supply. Ex. As a Z I can build a Tier 3 to force ghosts, but then switch back to banelings and the ghosts are just heavy supply marines now.

Z is known for fast tech switches. Im looking for a good comp order to manipulate what the enemy builds. Usually I just go Tier 1 > 2 > 3 units, but I feel like there can be more to that in a strategy game.