But we can't know for sure that Dropbox plays nice here, can't we? By the way, "deprecated" isn't the same as "removed". So they might still be using these techniques and I believe that this really is the case given the fact that on macOS Sierra they can't do the same.
But what we know for sure is that Dropbox really does behave like a Trojan after it "gets permission".
What you are saying applies to any app in existence that asks for elevated permissions.
There is no app that details every little part of what the elevated permissions are used for.
In the case of Dropbox, you can argue that it's shady to circumvent standard practices for Accessibility permissions, but like I said previously it's likely part of a UX enhancement rather than nefarious purposes.
The majority of medium to advanced apps on Mac will need to install a helper and all you ever see is "Enter password to install helper tool".
Do you question every single one these apps like you are with Dropbox right now and if not then why?
I'm not trying to defend Dropbox, I'm just trying to point out that your argument "I don't KNOW FOR SURE what it does so it COULD DO ANYTHING" applies to basically any Mac app. So if that's your biggest issue with this, maybe you should stick to closed systems like iOS.
In the case of Dropbox, they have already explained why they require Accessibility access (something to do with badges). Accessibility access isn't exactly an unusual thing to ask for, even simpler apps like screenshot utilities sometimes asks you to give them these permissions.