I think Direct File is great, but where is the $200 assumption coming from? A lot of the people using direct file (which is quite basic) were probably using free filing solutions or ones much less than $200.
the second link in my earlier comment provides much more direct data, estimating $5.6 million in tax preparation fees saved compared to operation costs of $2.4 million. i've updated my original comment now to remove my personal estimate.
$220 source: https://higherlogicdownload.s3.amazonaws.com/NSACCT/725010a8...