Let me give it one last try :)
You're claiming the truth of two propositions:
A) Without the context of the specific accounts being debited or credited the terms [debit and credit] themselves mean nothing.
B) Without the context of the specific accounts being debited or credited we have no way of explaining what the managerial result of that entry is.
I agree with B, but do not agree with A.
When an account is CREDITED, this always represents an increase in liabilities[0] (or equivalently, a decrease in assets).
When an account is DEBITED, this always represents an increase in assets (or equivalently, a decrease in liabilities).
The two statements above are true as written. If you were to exchange the capitalized text (turning CREDITED into DEBITED and vice versa), the statements would no longer be true. Therefore credit and debit each have some distinct meaning.
[0] I treat 'shareholders equity' as being a liability in favour of shareholders