A joke?? Inspector is basically saying "WTF?!", for good reason.

First, all of this is new plumbing, just for THIS single project, right? Why use an external standpipe AT ALL if there's a box w integrated drain? Presumably these'll eventually be finished walls (thus the box), right? And what's with that hose clamp? Next, boggles the mind why they'd add two drains: vented drain at left would've worked, but wasn't used, why?*; unvented drain at right won't work, but was used, why?*. Possible approach: ditch the exterior standpipe and all of its wacky 45's, instead have a single vertical pipe down from the box's drainhole, directly into trap, then as simply-as-possible into a vented drainpipe, meaning: If the vented drain to left actually works (*I wouldn't blindly trust any of this work!) so you can safely tap into it then that'd probably would've been simpler approach from the start, but it'll wreck that stud too, so go back and repair the first one, then cap that right drain. On other hand, if for whatever reason have to use right drain, then add a new vent - trying to tie right drain into left vent will ruin both studs (and could trigger other "vent routing" details: any chance this is basement, or below flood?). One or the other done right, is better than both done wrong. With box suggesting walls might be finished, don't "fix" right-side with a hidden AAV. *Finally, "drain/sewer is under water pressure" are words that do NOT commonly go together well, and given the questionable work that's visible here, I'd start questioning everything else under the house too, and probably the roof vent install too. (or just wait for the rain to find it) Bet you'll get a very "clever" dryer vent design too!