Inherit filter from the nested invoke source metod into Handlers

Is there posible to inherit rules of filters from parent Invoke source method to the child invoke source method when we use Handlers ?

Especially it is interesting when we have for examle: table1(Id, ref_key_tab2) and table2(id, ref_key_tab3) and table3(id, ref_key_tab4) etc.
A we would like to use getTable3 method for example to filter in one list


I'm afraid that such functionality is not supported.