Workflow Task assigned to Importer, not Owner

Workflow Task assigned to Importer, not Owner

I'm trying to import a batch of leads through "Import my organization leads" that have their owners set by Assignment Rules.  The task I choose gets assigned to the person importing the leads (myself) instead of the user who is the owner assigned by the rule.
It doesn't seem like this is the way it should work but I couldn't find any documentation.