Hi Vasyl, thank you so much for your help. I tried the Wiggle Paths, and it does give some variety to the invasion layer. But I very much prefer Turbulent Displace, as it looks more organic and natural. But you’re right. That does work, thank you!
But I did find a workaround for Turbulent Displace when it comes to rasterizing a moving invasion layer mask in a 3D scene. I just discovered that I only need to pre-compose the invasion mask itself (nothing else), and I can then add a null parented camera above all the other rasterized 3D layers. So when I zoom in, the map and any accompanying text won’t lose any resolution, just the pre-composed grey colored invasion layer.