Hi John - yes - the book does exactly that.
Fletcher posits a basic question - How is it that Wellington (and historians and wargamers ever since) had a poor opinion of British cavalry with their tendency to go "galloping at everything", yet British cavalry consistently overpowered their French equivalents?
Fletcher's historical methodology is exemplary - detailed analysis of archival records and discussion of historiography, with proper footnotes and bibliography.
Fletcher looks at leadership. He implies that one reason why the British cavalry didn't shine was because Wellington, being a control freak, didn't really trust his subordinates.
Fletcher delves into the area of logistics and detailed stuff like the breeding and raising of horses, the forage that British horses were supplied with, and cleaning of horses - it may seem very detailed, but its really important for explaining the effectiveness of cavalry (In cavalry combat, having bigger faster horses than the enemy matters).
Fletcher also looks at tactics, and how the British cavalry tactics emphasised swordsmanship and charging at the gallop, which meant that British cavalry was very powerful, but their tactics neglected other aspects.
Finally, Fletcher goes through every British cavalry action according to the primary evidence. For every battle of Campo Maior (where the British light dragoons routed a larger number of French dragoons, but then galloped off in a wild pursuit), there was an El Boden (where the British cavalry held off a force of numerically superior French dragoons with a series of very controlled charges).