Which paragraph settings control positioning of anchored items?

I'm trying to figure out how to get "clean" anchored objects when pasting - e.g. pasted a graphics frame & have it take up "paragraph space" just like a paragraph would.

In the example below, on the left, I'm pasting into the default paragraph style, and centering it.
However, when I paste into a box with text that has a Paragraph Style applied, the box no longer behaves as expected, and overlaps the content above rather than taking up the vertical space as it does on the left.

So, I'm assuming it's a setting in the paragraph style that's causing this - any ideas?
Back to experimenting...
Thanks