Topband: Twist a Flag into a Bowtie?

[D Michael]

I have two flag rx ants and I was looking at the DHDL and DK6ED Double Loop System V2 and wondering if twisting my Flag rx ants into  Bowties would improve the forward pattern and make them narrower with better front to back. 
I would just ""flip"" the termination resistor end to form a loose BOWTIE shape.
I have no ant modeling software so I have no way to ponder this change. 
Maybe someone could model doing this.
TNX es 73, Mike W3TS