わけでもない

it's not that

→ 訳
phrase Rare #26,336
it's not that Used to deny or soften an implication, often meaning “not necessarily” or “it's not like...” It commonly follows a plain-form clause; というわけでもない is another common form.
JA: 嫌いなわけでもないけど、毎日は食べたくない。
EN: It's not that I dislike it, but I don't want to eat it every day.

美術凝っているわけでもない

It's not as though I'm particularly into art, either.

それで彼が好きになったわけでもないのですが

That doesn’t mean I came to like him because of it, though.

— ミスティック・リバー (2003)

あの町に知り合いいたわけでもないのに奥寺今日はありがと

Even though I didn’t know anyone in that town... Thanks for today.

— 君の名は。 (2016)

彼らの全員が今日の会合に出席しているわけでもない

Not all of them are attending today’s meeting.

そして誰が責任をとるわけでもない

And no one takes responsibility.

全く間違いというわけでもない

It's not entirely wrong.