The Mayor is correct. Just think of it this way. When there is one deck left before the cut card, all those good cards could be in the two of three decks that will not play in the 6D shoe.
In your 8D example, with one deck left to play, all the good cards could also be in the one of two decks that will not play but the chance of that is significantly less than in the 6D example.
Just 87% penetration vs 67%, simple choice except it can be hard getting to that point in 8D without some card eaters (ploppys) earlier in the shoe.