If the householder's point was to influence the ladies' thinking, he could have used a better thought out approach. We expect JW's, who are blindly following the WTBTS and not well educated in the art of persuasion, to bumble through their project. We know it's going to be very challenging to crack the WT influence over a snowed JW. Any of us who said too much too soon to JW family and friends know this. Most JW's require subtle hints, across a period of time, to begin to really wake up. There was nothing subtle about this man's approach.
I don't think the sisters were being arrogant. They sincerely believe God has sent them to this man's door to "save his life." I think he took them by surprise and they just didn't have time to think of how to react in a more tactful way.