The paper does address exactly that point. The longbow required sustained central support over many years which prevented rebellious nobles from quickly adopting it:
"These features of longbow technology had two important implications for those interested in adopting it. First, centralized efforts were necessary to create a culture of archery. As shown above, these efforts in England consisted of laws supporting bow ownership and practice, restrictions on competing leisure activ- ities, subsidies for bows, and festivals and tournaments focused on archery skills. Because of this, the longbow could be adopted only by, or with the permission and support of, a nation’s ruler, who alone wielded the authority and resources required to undertake such e orts. Indeed, given the nature of longbow technology, to have even attempted to adopt the longbow without his ruler’s permission, a noble, for example, would have needed to successfully hide the fact that he was continuously training large numbers of archers for years—a highly improbable proposition.
Second, conditional on a nation’s ruler adopting longbow technology, a usurper noble with an eye on the Crown, or a prince interested in independence for his territory, could lead an effective rebellion against his ruler by supplying the inexpensive weapon to large numbers of citizens, whose ruler-sponsored training and practice with the bow had made them proficient archers. Thus, to be willing to develop longbow use in his country, a ruler had to be confident that his efforts would not be turned against him."
Yes, I read that, and of course it is possible. Nevertheless the fact that the centralized government was unstable and news would not travel too fast makes me think that it is a bit strange nobody tried it in 150 years. The maps of France they present also shows that lots of territories would not recognize the French crown for long time. Those could have developed the technology and either take over the throne or give the crown one more reason to develop the technology themselves.
Maybe the line is thin, but given the long times it seems strange to me that there has not been at least an attempt to this (at least to my knowledge, but they don't cite any such event).
The various French barons probably saw more advantage in maintaining their ability to repress their own people than deeper alliance with them to defeat others. Being King of France sounds nifty, but there wasn't actually much that King could do against the more powerful or remote barons. One of those barons might have had more power over the others by training archers, but the real power would be with the _archers_, and the baron would access that power by their acknowledgement of his authority. This makes it difficult for the baron to tax the bejesus out of the serfs and take their daughters. All of which was the really fun part of being a baron, and never mind about being King.
When your political status depends on your ability to beat the crap out the people around you, and that ability depends on you having expensive armor that they don't have, you have no interest in teaching them to kill you at 150 yards with a piece of wood.
One of the notes does actually address this point:
23 At the battle of Courtrai, for instance, the small principality of Flanders was able to muster an
army of archers larger than the army of the entire kingdom of France, which consisted of knights
and men-at-arms (Rogers 1993, p. 252). In this sense, a weapon like the longbow allows for the military
enfranchisement of commoners, which institutionally constrains the ruler
It doesn't go on to discuss this further, but it shows that while maintaining a large force of archers required a population widely practiced in archery, where a region could muster enough longbows it enabled them to effectively combat the central control of their country.
Actually the descriptions of the battle I have seen do not mention archers.
Rather it looks like a militia on foot was able to defeat a cavalry-based army by choosing (and preparing) the battlefield. It seems that both armies used crossbows, and that actually the French did better with them.
"These features of longbow technology had two important implications for those interested in adopting it. First, centralized efforts were necessary to create a culture of archery. As shown above, these efforts in England consisted of laws supporting bow ownership and practice, restrictions on competing leisure activ- ities, subsidies for bows, and festivals and tournaments focused on archery skills. Because of this, the longbow could be adopted only by, or with the permission and support of, a nation’s ruler, who alone wielded the authority and resources required to undertake such e orts. Indeed, given the nature of longbow technology, to have even attempted to adopt the longbow without his ruler’s permission, a noble, for example, would have needed to successfully hide the fact that he was continuously training large numbers of archers for years—a highly improbable proposition. Second, conditional on a nation’s ruler adopting longbow technology, a usurper noble with an eye on the Crown, or a prince interested in independence for his territory, could lead an effective rebellion against his ruler by supplying the inexpensive weapon to large numbers of citizens, whose ruler-sponsored training and practice with the bow had made them proficient archers. Thus, to be willing to develop longbow use in his country, a ruler had to be confident that his efforts would not be turned against him."