This is actually more incorrect than informative.
Staff do not need to handle / work on the Discord. Moderators literally have no power on the Discord unless given Dyno mod. Staff can work on the forums. Forums isn't a hard thing to do at all. All you have to do is check out ban appeals, reports and mod applications. After that, you put your opinion on things. From my personal experience, it was only very few amounts of staff members that really did anything. If you are saying that each staff member averages "40-60" sits a day, that is completely wrong. Sugar showed the average sit count for most of his staff. Most staff averaged 1 or 2 sits per hour. That is horrible. So you're completely wrong on that one. I get that staff take a lot of stupid calls from people crying, "Oh, he killed me one time. RDM!!!!!". But you also have to consider the actual good sits that staff pass up and don't bother to do. Most staff, I would say they either applied to benefit themselves, wanted to help and burned themselves out, or just pure lazy.
There is way more that I can list, but this is from my personal side. I have been a mod for I believe 7 or 8 months then resigned. I seen pretty much anything you listed.
The mods that I did see do their work a lot and did it well are:
Walter the Assaulter Mr. Peanut Butter (Dimitry Kirnov) Booper Scooper (Ex Mod) Monoxide (Handles Forums And When He's On In-Game, He Does Great) Dindu Nuffinz Steve Harvey (Not Steve) Zareox (Inactive Now) GN Isaac (Very Nice And Caring Guy) Wavy (Either He RP's A Lot, Or He Does A Bunch Of Sits)
If I didn't name them all, I'm sorry, but those are at-least most of the staff that I seen do very good. The lazy staff, or the staff that literally don't want to do anything until something happens to them, they need to be demoted. Either step up your game as a staff member or don't be staff. That's all I'm going to say.