Pudding vs. laundry starch - Add water gradually or all at once?

I recently watched a YouTube video "How to use old fashioned starch" by Constance MacKenzie about how laundry was starched in ye olde time. The only relevant information for my question is that you can use potato, wheat or rice starch and that it must be made into a paste with water and boiled, very similar to a pudding / blancmange / custard. Laundry starch has only those 2 ingredients: starch and water.

The process in the video started by mixing the starch into a little amount of cold water. This was then put on the stove at medium heat and roughly "a kettle full" of hot (but not boiling) water was added in very small increments under constant stirring. The mixture only started boiling after all of the water was added.

This process reminded me of making a roux sauce. You start with melted butter and flour and have to add the liquid in small increments to avoid lumps. It makes sense to first evenly mix butter and flour because the butter would probably stay seperated otherwise. But laundry starch doesn’t contain any butter or fat.

If you added some flavors to the laundry starch you would end up with an edible pudding / blancmange / custard. Those are usually made by mixing all the ingredients and then heating them up with all the liquid already incorporated. This has the benefit or avoiding lumps. So I see no reason why the laundry starch needs to start with such a small amount of water that needs to be tediously increased in increments.

On the other hand, I learned that our ancestors weren’t half as stupid as we make them seem and probably had reasons for starting with less water. They may not have understood the chemistry and physics behind the process, but they had much more practical experience.

My question is:

Is there a difference in the physical or chemical properties of starch if you:

• start with a small amount of water and gradually add more while heating the mixture, or
• add all the water before heating the mixture

assuming you never stop stirring during the process and you let the mixture boil until it looks translucent? It may be important to keep in mind that the quality of the end result (starched laundry) depends on the properties of the dehydrated, coocked starch.