If I’m honest, I’m still very confused, as if they haven’t even tested the existing Hide option which does what they’re after 
Request: A New Status: “Abandoned”
Solution: Hide, as mentioned many times
Potential Improvement: Rename Hide.
Request: Remove Abandoned Shows from “In Progress”
Solution: Already done with Hide
Request: A New Section: “Abandoned Shows”
Solution: Already done with Hidden Items in Settings (https://trakt.tv/settings/hidden/watched/title)
Potential Improvement: Could/should be more visible and drop status should be visible in the show page IMO.
Conclusion:
Hide does these things:
Keeps your watchlist cleaner and more organized.
Prevents shows you’re not watching from staying in your profile forever. *
Helps you manage your time better in an era of content overload.
* they do show in History still, but that seems to be the point - they don’t show in Progress which matches the suggestion.
Anyway, I’m happy to be shown why Hide doesn’t do what they suggested here.