Paste in place in the same place on linked images

I tried to paste in place this element from Illustrator into InDesign (a popup warned that it would cause issues so it will be placed as an EPS), but it did not get placed in the right position.
I thought paste in place should paste it in the same place where it was copied from, if it's placed on the same linked image.
It's the same linked image in both Illustrator and InDesign.
But the image got placed where I right clicked for paste in place, not where it originally was on the linked image in Illustrator.
How do I get it pasted into the same place?
