can be interpreted as "no matter to what degree (v1), (... it has no effect)"
it has a hint of that it will be the case, even if you work really hard against it. It is unchangeable.
どんなに勉強しても、日本語が話せない。 No matter how much I study, I can't speak Japanese.
どんな深い闇でも、その奥には必ず光がある。 No matter how deep the darkness, at its core there will always be light.
どんな辛いことがあっても、頑張ってね。 No matter just how much/many hard things happen, keep trying your best!