Blend by bool is what I was looking for.
You can cache your pose before you convert it from local to component. Drag out a line and then right click and type “New Saved cached pose”. Then you can click that and rename it to whatever you want. Then when you want to use it, right click and type “Use cached pose” + whatever you named it. Then convert it from local to component. Then you can use the same pose as a base input for both of the true and false inputs, modifying it as you need to to get what you want.