I think all staff and TL4 users can rebuild HTML, which is used to fix broken images. Make wiki is granted for staff and TL3+, and used to create wikis which are editable by all users TL1+ by default.
Side note: This topic should be moved to support category, not #meta.
Not quite, rebuild html rebakes the post. This means it passes through the current code path for baking posts. A 3 year old post will have passed through the 3 year old code path, at the time it was posted. There could be significant differences in rendering based on the old vs new codepath.