ともかく has the part of denying a precondition.
「江戸時代ならともかく、いまどき何を言っているのか。」
It is not the Edo Period now, ...
「結果はともかく、検定試験を受けてみるつもりです。 」
I don't care about the result, ...
See I was thinking more:
If it is the Edo Period in any case,
No matter the results,
But I am not sure how exactly the preceding nouns are affected.
I have always used とにかく, I wasn't aware of ともかく。