What you can do is have a boolean attribute to the entity be named something like toggle, and create a microflow which changes the value of the attribute from true to false. Then inside of your listview you add a constraint which only shows values where the toggle attribute is equal to true.
It might not be the prettiest solution since you have 2 different data sets, but if you use this same principle you could have a page with 2 different list views each displaying the data they are supposed to show, but which have conditional visibility based on the value of the attribute "toggle" which i just described, and your microflow would simply change the value of toggle so that when you hit it it would hide one list view and show the other one.