There is a limit of 200 content channels and 200 search channels in each adsense account. Perhaps there is a limt on the url channels as well but I'm not sure. For the sake of this discussion let's assume there is no limit, or the number of url's that serve ads is within the limit.

Each url has x ad links, y regular ads, and z search boxes. They're all in the same position - so "Manage Ads" has just x+y named ads.

A channel url is defined for all urls that serve ads.

There are no custom channels.

With this arrangement, is it possible to generate reports that give:

url ad type <stats>
url1 adlinkx1 <stats>
url1 adlinkx2 <stats>
url1 adlinkx3 <stats>
url1 adz1 <stats>
url1 adz2 <stats>
url1 adz3 <stats>
url2 ...

and so on.
The advantage would be - the code for the ads can be replicated on all pages, no need to define/manually paste ad code separately for each url.
And of course, granular tracking. Such granularity may not be required, but it's good to know that the information is available.

Or, is there another way to achieve the desired report?