No, it wouldn't rattle if its held securely in place. If you dent the can & distort it, it might rattle. The coil spring is in the poppet valve, a separate item fully contained in the bracket with this design.
I think I know the design you're talking about, where the bypass is achieved by the filter raising off the base being held in place by a leaf or coil spring. I can't wrap my head around how pressure from the outside causes the element to lift off the base toward the outside. This is not that design.