Its feasible that a bag of belongings could go undisturbed and un-reported for several days on the Manhattan bridge path.
It's the second most famous bridge in NYC, but compared to the adjacent Brooklyn Bridge, it has virtually zero tourist activity.
In the middle of the day, while the Brooklyn Bridge's walkway is virtually impassible with selfie stick swinging tourists, I've walked across the Manhattan Bridge and at times not encountered a single other person.
The people who do walk that bridge are typically actually have places to go, and are not stopping to take photos or pay attention to shit like bags, and due to the lack of tourists and lack of cops (i've never seen any on that bridge), duffel bags and backpacks of belongings left by vagrants arent uncommon, and people tend to leave that shit alone out of fear of starting a fight with some unkempt homeless guy, and they're several nooks along the bridge where homeless guys tuck in.
Once I saw a open duffel bag full of Kung Fu VHS tapes sit on the walkway undistrubed for days, and thats just one example.
Its possible however that if Etika didn't really jump, he handed the bag off to an accomplice to plant on the bridge several days after the disapperance.
Additionally, the Switch has interchangable side-controllers, and he has a small collection of these in many rare and uncommon colors, the colors of the Switch system found in the bag on the bridge don't really prove or disprove anything in regards to if he dropped a "secondary" Switch while keeping his "real" one.