Opinion only!!
I think a lot depends on the milling of the grain as that determines how long it takes from start to finish. If you mill fine (as I do) your grains get wet through quickly and both alpha and beta amylase are active and complete the conversion before the beta amylase has a chance to be denatured. Whether I mash for 20 minutes or 120 minutes makes no difference to the amount of dextrines in my beer.
If the grain is more coarsely milled it takes much more time for the water to reach the center of the particles. While both enzymes are active at the start of the mash, the beta amylase may be denatured before all conversion is done. If then the mash was halted at 20 minutes, much of the starch would remain unconverted and locked up in the grain particles and conversion efficiency would be low. Extending the mash to 60 will increase mash efficiency and give time for the beta amylase to denature so that the wort would have more dextrines. Extending the mash further may or may not result in more efficiency depending on how coarse the milling was and whether the alpha amylase was also denatured. That slower conversion can make the temperature more important in the body of the beer. Would you care to experiment with the differing grain milling and mash times to prove or refute this?
Let me throw in some more (hopefully educated,
ref) opinion.
(Warning: it's gonna get deep!)
Neither alpha amylase or beta amylase can break down limit dextrins (branched polysaccharides [primarily amylopectin in the grains we use], which are not fermentable.) Beta amylase creates only maltose (a disaccharide which is fermentable), and is very efficient (read fast) at doing so. Alpha amylase creates random length mono-, di-, tri-, and larger polysaccharides, and is less efficient at creating short chains than longer chains, so it creates fermentable sugar at a slower rate than does beta amylase.
Beta amylase is extremely limited in what it can do by itself. It can only chop maltose units from one end of a polysaccharide chain. It can completely reduce amylose (a non-branched very long polysaccharide [i.e. starch]) to fermentable maltose. However, when working on amylopectin (a branched very large polysaccharide [i.e. starch]), it cannot work past the first branch point it encounters, and thus stops creating maltose from that amylopectin molecule. So, beta amylase, if acting alone, would leave large amounts of amylopectin and large dextrins behind, creating a very low fermentability wort.
Alpha amylase is more flexible in what it can do compared to beta amylase, but it works slower. Alpha amylase can cut amylose at any point along the chain (pretty much randomly.) Given enough time alpha amylase, by itself, can reduce amylose completely to mono- and disaccharides, which are completely fermentable. Alpha amylase can also cut amylopectin at random points along the chains, except at points very close to branch points. This branch approach limit is the reason "limit dextrins" (relatively small, non-fermentable, branched chain polysaccharides) remain in wort, no matter how long you mash. So, also given enough time, alpha amylase can reduce amylopectin to fermentable sugars and limit dextrins.
Alpha amylase also creates a synergistic effect for beta amylase. When it cuts an amylopectin molecule between branch points, it creates a new end on one of the resultant polysaccharide molecules that can be attacked by beta amylase. And since beta works faster to create fermentable disaccharides, this speeds up the overall saccharification process.
Net: beta amylase alone cannot complete the saccharification process, as it will leave behind amylopectin and dextrins much larger than limit dextrins. Alpha amylase alone can complete the saccharification process, but the overall process goes much faster with both beta and alpha working together.
But wait! There is another saccharification enzyme that we tend to ignore. This is "limit dextrinase." Limit dextrinase has the unique capability to cut branched polysaccharides at the branching bond. Every branch that is cut creates more attack points for alpha amylase, and the alpha can create more for beta. This reduces (and theoretically could eliminate, if the limit dextrinase didn't get denatured) the limit dextrins in the final wort, significantly increasing fermentability.
I believe the reason we tend to ignore limit dextrinase, is that it has an optimum working temp range slightly lower than beta amylase, and probably denatures before it can have much effect in a typical mash.
However, as @RM-MN pointed out, gelatinization is the rate limiting step in the saccharification process. None of the enzymes can work on a starch molecule until that molecule has been completely hydrated (gelatinized.) Since gelatinization proceeds from the surface of the grits towards the center, the larger the grits, the longer it takes to fully gelatinize them, and the longer the full saccharification process takes, and the less limit dextrinase can participate.
Since limit dextrinase is only active for a short time at the beginning of the mash. It will have a much bigger effect on a grist with a very fine crush, that gelatinizes quickly, verses a coarsely crushed grist, that gelatinizes slowly. For this reason a fine crush should inherently lead to a higher fermentability wort than a coarse crush, even when the coarse crush is taken to the limits of saccharification, as the coarse crush will be left with more limit dextrins.
Brew on