I like this idea, but I think a big function of the checkmark is reassuring people that an account belong to who it says it belongs to. For example, @realDenaldTrump is not verified (even though people still fall for it).
That said, Twitter administers the checkmark in puzzling and thoroughly non-transparent ways.
I think a big function of the checkmark is reassuring people that an account belong to who it says it belongs to
That is in fact the only reason Verified Accounts exist, and is the reason that non-celebrities or people otherwise lacking notoriety can not get Verified Accounts. It's not worth Twitter's effort to make my account, or any random user, Verified, it seems. But as Twitter's role continues to expand in the public sphere, it is really the public who gives out Verified Accounts (through making someone famous), and the public should have requirements, such as a certain level of consistency, from the accounts it gives the power/influence of the Verified Account to.
That said, Twitter administers the checkmark in puzzling and thoroughly non-transparent ways.