There are some light variances, yes. If you were looking for tweets by a certain user, you should get them from the user’s timeline instead of the Search API – it’s not the best means to obtain tweets authored by a specific user.
If you’re really trying to stuff it all into the same widget, add a “OR from:HFL_Commis” to be more specific that you’re looking for tweets mentioning that string or authored by a user containing that string.