The proper term is mash conversion, not starch conversion. Start with the proper term.
Amylo-pectin is responsible for limit dextrin. Besides, soaking grain in hot water doesn't do much with the starch and only on a very rare occurrence does limit dextrin form from amylose. Debranching enzymes are more so maltase and dextrinase which are beat to death during kilning.
Alpha works first, that is why it is called Alpha and all that it does is release glucose and sweet sugar from amylose. The dextrin thing is a little different. Gelatinization is part of it. Conversion cannot occur unless Alpha works first. Conversion has to do with one sugar converting into another sugar. A simple sugar into a more complex sugar, di and tri saccharides which do not ferment in the same manner as glucose. Amylase softens starch and alpha severs the starch chain at a link and that is all, hydrolysis. The link is a 1-4 link in amylose, simple starch. When the chain is severed a reducing end and a non reducing end form. The reducing end contains links and alpha continues to severe the chain until there are no longer any links left and sweet, non-fermenting sugar is left and on a rare occurrence limit dextrin forms and that is why sometimes single infusion beer seems to turn out a little better. The non-reducing end is glucose which is responsible for primary fermentation. Beta cuts off two molecules of glucose and forms maltose, it is called conversion. Home made beer is primed because it contains very little maltose and malto-triose. The wort produced by single infusion is sugar imbalanced primarily made up of sweet non-fermenting sugar and glucose, there is no need to use a secondary fermentation vessel. Fermentation is rapid and that's the reason why distillers use the method.
At one time I used a brewers glocosometer to determine glucose level during the maltose rest. If glucose was high, the maltose rest was stretched out or malt was added. An Alpha/Beta enzyme can be added. Enzymes are produced for a reason ant they are used to correct enzymatic deficiencies in the malt.
If you are using iodine that is able to differentiate between saccharification and conversion let us know who produces it. Malt is tested at 153F to determine total sugar content. The test does not indicate the types of sugar that are formed and neither does iodine. Take a look at a malt data sheet, most of the time saccharification is indicated, however some maltsters indicate conversion time. The tests are performed at different temperatures, 145F is used to determine conversion and alpha is active at 145F. Saccharification test is performed at 155F, beta denatures.
CAMRA re-defined beer to fit the hobby, if they didn't the hobby would not be where it is at today.