My opinion is that in reality the only people that want the morning schedule are the spotters. There is a reason why flights from PEK to Europe leave mid afternoon and that is a relatively short flight crossing 7 or 8 time zones.
One average I do 5 Asia - Europe returns per year and always look for late evening off Europe and lunchtime off Asia, there is less of a jetlag problem, and before someone cites the 'perfect for business schedule BS' I am in business and of the firm belief that people do not perform at their best when they have just got off a plane at 6am!