As mentioned in #6395, the name of the rule "no-native-reassign" is confusing, because the rule covers more than native reassignments. The name was so misleading that no one realized the rule worked the way it did for several months. Therefore, I think the rule should be renamed to "no-global-assign".

One issue brought up in that thread was that a name change would be breaking. It doesn't have to be; we could have the old name (and docs url) alias the new one, promote the new name wherever possible, and mention the alias in the rule's documentation. Aliasing could be automated with metadata.