'Asian men', this is a broad definition... Please explain.
About what kind of Asian men are you talking? About Asian American men living in USA?
This is the only place where I can think about Asian men complaining about dating between white men/Asian women.
Can you give a link to any forum, any language, where such Asian men are complaining about that?
For example Thai men often complaining about Thai girls and their family, they are asking for too much financial support from men dating them (or dating their daughter), but ordinary Thai men do not earn so such money.
Japanese, Korean and Taiwanese men often look for a foreign wife, claiming local women are highly materialistic and difficult to find etc.
Mainland Chinese complaints are often from rural areas, there is really no young woman available. etc.
Indian families with a son complain about the legal situation, which makes it easy for women to cheat the husband and families to get away if a nice pay off by claiming abuse - India's 498A, Divorce Law as Criminal Law. A law that may only used by women against men.
But who is blaming white men/Asian women dating for reduced possibility to find a local Asian girl?