It's not semantics. There are devices on the compressor side that do divert "air": A blow-off valve, for instance, prevents compressor surge by venting to the atmosphere. A diverter or recirculating valve does basically the same thing except instead of venting to the atmosphere it bridges the compressor outlet to the inlet to maintain intake air volume and reduce noise.
But the point is you said "air." Exhaust is not "air" and it's egregious to lazily interchange the terms (especially in a thread about turbos where half the turbo does indeed deal with air) in a thread where people are trying to learn something, moreso when the person doing it is coming off, intentionally or not, as some sort of arrogant know-it-all picking the fly**** out of the pepper in other people's posts.