How to make an object invisible in render but fully impart lighting influence in scene?

Hi, here is link:

The difference is subtle, but mainly I am trying to understand how to do this in a way that guarantees expected result.

From what I read, I thoguht I was doing things as needed, but when I noticed the difference, I realized the result is not as expected. On right side, the yellow tones are darker. If things are working as expected, I would expect the cat on left and right to look identical.

The quality isn’t great, as this is part of a camera move, so UE is applying a lot of motion blur, as at this moment in the footage my camera movement was rather quick.

thanks