George,
>> I realise that the act of moving through the pages is not recorded <<
TestComplete (and LoadComplete) records traffic between the client part of your app and the web server. Perhaps, you are moving between several pages within the Flash movie, while the page's URL remains the same. In this case, TestComplete will load the requests and responses, but will place them under the same URL in the recorded task.
TestComplete (and LoadComplete) simulates all the recorded requests regardless of the page to which they belong.