As indicated earlier, providing sources for my explanation is easier said than done but the attached documents may help with understanding and support my assertions somewhat. If you don't want to trawl all of the attachments, the Flightglobal articles summarises very well both the accident and how the a/c behaves in ALT*. I realise the majority of these papers are heavily weighted towards the accident rather than the actual request for source information but its the best I can do these days, I do believe taken together,they should provide reasonable confirmation.
1) Combined articles from Flightglobal soon after the crash.
A330 Toulouse crash Flight global.pdf
2) Article from Pprune is an English translation of the BEA preliminary report (I though a final report had been published but cannot find at all now).
A330 Crash Toulouse Article pprune.pdf
3) A330 FCOM extracts
A330 FCOM extracts.pdf
4) Deeply technical extract from B757 MM but explains how their ALT CAP works (ALT* Airbus very similar) it explains how it adjust vertical rates in that phase to basically follow what I perhaps erroneously refer to as a geometric path (trajectory is perhaps the better word)
B757 ALT CAP logic.pdf