My thoughts are it's part of a diy catch can that's been removed maybe?What year is this? (Unless I missed it, I haven't seen any info on the car, only the ej253 identification.)
That hose, that connects to the white piece at the top end that, in turn, is attached to the airbox, is part of the PVC system. But I don't recognize the lower area of the hose. Looks as if it's modified with a plastic T and bolt to block an open end. In my 07, and others I've seen, the lower end of the hose goes to a fitting that's press-fit into the top of the block (crankcase) down below the coil. The PCV valve is also mounted on the fitting which opens into the crankcase. The PCV valve connects to the slightly narrower hose that's right next to the #2 spark plug wire, and goes to the black metal PVC tubing on top of the intake manifold.
The bolt in the hose made me laugh. That T isn't factory but also doesn't appear to go anywhere. I caught it when I removed the manifold but was less concerned about it when I had zero compression. I haven't pressure tested it yet but it's running happy now.
I checked a couple pictures and it appears that I'm missing the piece that the pcv bolts to that is attached to the block. I'll double check in the morning that I didn't miss anything.