ooh it's definitely the same part
I'll attach a picture, although you can't see the manifold because it's hidden behind the bowl on this machine. Your setup is from one year newer than this machine so it doesn't have the same nice mounting bracket.
In your picture, the coolant pump outlet hose connects at the right, then the manifold on the left goes out to the various parts of the machine (spindle tower coolant, but also the washdown hose and the Y-axis saddle nozzle).
Naturally you don't strictly *need* a filter inside the bowl, it'll work fine without it like most of the older machines still being used, but with no filter it would just act like a liquid accumulator.