Once a user reaches 1000 on the beta French SE site, they no longer receive +2 rep for editing posts.
Suggested edits created by users under 1000 rep are awarded +2 rep if accepted because they have now made a contribution that is considered useful by 2 users with a high level of reputation.
Editing posts (after 1000 rep) is almost considered to be a duty. The SE model works on the theory of community moderation.
From the privilege section on editing posts:
What is edit questions and answers?
We believe in the power of community editing. That means once you've
generated enough reputation, we trust you to edit anything in the
system without it going through the peer review system. Not just your
When should I edit posts?
Any time you feel you can make the post better, and are inclined to do
so. Editing is encouraged!