Alderdice, 48, a New Zealand national, died last Friday and was initially identified as a New Zealand diplomat based in Singapore.
An official said confirmation of Alderdice's identity had been delayed because information the commission initially received about him was wrong.
Alderdice, a deputy crown prosecutor before moving to private practice 10 years ago, and his companion, who has not been identified, were found dead in an apartment, Russian police said.
Alderdice, a Queen's Counsel, was well known in legal, horse racing and business circles in Hong Kong, Macau and New Zealand.
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