On graduated sites with designs, the ability to bindingly edit posts is given to users at 2,000 rep, and the ability to vote to close and reopen posts is given at 3,000 rep. However, on beta and graduated sites without designs, the ability to edit posts is given at 1,000 rep, and the ability to vote to close at...500.
Notice that on designed sites, one needs more rep to vote to close than to edit. But on beta sites, one needs more rep to edit than to vote to close.
Why did SE make the decision to implement it this way? In my opinion, it makes more sense for all users who can vote to close to have the ability to edit, on all sites.
(Please note that this is a neutral question, and not a request to change this.)