Balancing unbalanced Pages tree

A Pages tree in a PDF should of course be a balanced tree. But PDFs exist where all the pages are in a single array, and we must deal with them. I am faced with a file with a Pages tree with more than 10,000 elements in the Kids array. Performance is terrible, gets exponentially worse as one gets towards the end of the file, and Acrobat and plug-ins appear to hang because simple APIs take a long time to complete.
I know that, if one adds pages entirely in Acrobat the pages are balanced. And I know there is no API specifically to rebalance a tree. But I was wondering if a particular API or sequence of APIs would lead to the tree being rebalanced as a side effect. I thought maybe adding a page to the end of the file would work, but that just splits the array into one small one and one with the rest of the elements (rather than a 50:50) split. Any ideas? I'm trying various things, but waiting around to see if they work is rather tedious. (I suspect that adding a page after each 100 pages, then deleting them, might have the desired effect.)

Interestingly, I wrote a simple balancer for this file (simply divides into N nodes of N elements, where N~=sqrt(nodes). So N is about 100 in this case; not an optimal tree, but a quick balancing act. This balancing is not as heavyweight as I expected, just taking a few seconds. And once done, performance on this file returns to normal; before it would take several minutes just to delete a page, or iterate through all pages. Since it does not alter pages (except the Parent key of each Page dictionary) there does not seem to be any notification required.
Can you think of any downside to this little trick?

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