не, не работает. но я нашел объяснение.

In short, for Spring to be able to provide the async behavior it needs to create a proxy for your class at runtime. The proxy then does whatever it needs to do before and/or after calling your code. But in your case, the proxy mechanism is not being applied for the second method.

https://stackoverflow.com/questions/24898547/spring-async-method-called-from-another-async-method

похоже это ожидаемое поведение.

не, не работает.