Not sure by looking but that fitting under the body of a 5T to me looks questionable.
I have done a lot of engine testing on a Dyno and air intake systems was one we had worked on for a long time , every one of those plastic air boxes made less power ( granted they were a stock airbox). Yes probably less intake noise but in this situation who cares. The first thing most of do... bolt on a pipe so at that point who cares about intake noise.
I would vote for putting on a pipe and maybe a good air filter and let it rip. The average Joe will never notice a difference.