Thanks for the kind words Doc!
Its just me, but I don't see the acceleration in any of the above cases. Probably because I'm aware of the illusion factor.
Just like any other club, the putter has built in randomness resulting in deviations in distance and direction. Better putters have smaller deviations. Keep in mind some deviations will work in our favor. A not so perfectly executed putt will go in the cup due to a "lucky" deviation that corrects for our error.
"#$%@ it! I missed the ding! Ooooh it went in anyway!!"
Andy