"I have read Ashby tests. But they are inconclusive as to whether KE or Momentum is more important. "
Read them again.The tests were very conclusive and he goes to great length to show that momentum is far more relative to penetration than KE.
Here is another article that examines this:
http://www.tuffhead.com/education/formulas_momentum.html another:
http://www.africanarcher.com/momentumKENETICS.html another:
https://www.qdma.com/articles/momentum-beats-speed-for-lethal-arrow-hits another:
http://www.tuffhead.com/ashby_pdfs/ashby%20ours/PDF%20Momentum,%20Kinetic%20Energy%20and%20Arrow%20Penetration.pdf Some other stuff to consider when shooting in to man made mediums:
diameter is a big deal.Shaft makers talk about a shaft being 5/16" in diameter but actual specs may shoe they are from .287 to over .300.I have shafts in this range and they may be called 5/16" diameter but they are all different and minor fractions of difference in diameter will change the equation in man made materials.
To compare two different arrow setups,they have to be EXACTLY the same diameter.They also have to be the same FOC unless they are 18% or less.
Shaft finish also effects penetration so both arrows need to have the same shaft finish.Dipped shafts (wood grain,camo etc)are a drier texture and don't penetrate as well as plain carbon.
Your heavier shaft shows a carbon collar,which stops against the wood.Maybe the black shaft has one as well,it doesn't show,but if it doesn't,that will drastically skew results.
"And his heavy arrows also has significantly higher FOC skewing results. "
This also is untrue.Many of the tests used standard FOC arrows and when he was testing momentum VS KE,this was accounted for.
Ashby has tested all this stuff to death for over 28 years and $300,000 dollars spent.I've been delving in to this stuff nyself for about 8 years and don't have the time,money or patience that Doc Ashby does but I do run some occasional tests and all of those have correlated well with Ashby's findings.
I can tell you this,following what I have learned from the Ashby reports,using a combination of increased arrow weight,high FOC etc,I have more than doubled penetration from where I started.I'm relegated these days to bows in the low 50# range and these are penetrating way better than my former setups which were 60-66# bows and 9-10 GPP arrows with normal FOC.
Honestly I think your arrow shafts are too different to get reliable results from.If I were testing,I would want both shafts to be black,identical diameters,measured with electronic calipers and any footings or collars to be identical.Again,Ashby has already done this to death.I enjoy testing too but mine will never be as exhaustive as his.
So far,just following his results,my setups have increased in efficiency way beyond what I ever thought possible.
Anyway,good luck with your testing.Some day when I get enough time,a chronograph and a shooting machine,I plan to do some of my own.I spent over 2 years trying to come up with 2 arrows of exactly the same diameter but hugely different FOC numbers plus same diameter arrows with similar FOC but one light and one very heavy.That's not as easy as it sounds but I finally cracked the code.
Besides testing them for penetration,if possible,I'd like to flight shoot them from a machine.We'll see.