When to use "イ形容詞" plus "ったって"


I found the following sentences containing "形容詞語幹＋い＋ったって" in dictionaries

> 「大きいったって、それほどじゃないよ」（小学館）
>
> 「行きたいったって､先立つものがないとね」（明鏡国語辞典）

and also the definition of "たって" written in 大辞林,
"活用語の終止形に付き,｢…といっても｣｢…としても｣の意で,強い逆接を表す｡この場合,｢ったって｣の形になるのが一般である｡"

In the next sentence, I thought ったって can be replaced by としても and therefore
sounds natural, however, I was told by a Japanese that it doesn't.

> 「今気づかれていないったって、毎日真面目に努力すればいつか報われると信じています。」

While this sentence is totally fine to say

> 「今気づかれていなくたって、毎日真面目に努力すればいつか報われると信じています。」

Therefore, I would like to ask when to use "形容詞語幹＋い＋ったって" and when to use
"形容詞語幹＋く＋たって."




This ったって is basically a contracted form of と言ったって (see [this
question](https://japanese.stackexchange.com/q/30696/5010), too). So think of
it as "even though someone says/thinks/tries ～" rather than simple "even
though ～". A phrase that comes before ったって must be either of the following:

  1. a topic which has been already brought up in the conversation / a phrase actually said by someone

>     * 眠いったって、昨日9時間も寝てたじゃないか。  
>  although you're saying you're sleepy, ...
>     * 明日手術を受けます。手術ったって、10分くらいで終わる簡単なものですよ。  
>  although I said 'surgery', ...

  2. someone's (or your own) will/request/desire/etc.

>     *
> 俺をだまそうったって、[そうは問屋が卸さない](https://jisho.org/sentences/51868013d5dda7e98101ec78)。  
>  although you're trying to deceive me, ...
>     * 3日の勉強で試験に合格しろったって、無理なものは無理ですよ。  
>  although you're telling me to pass the exam ...
>     * この大雪では、助けに行くったって行ける訳がない。  
>  cannot rescue [him] even if you/I want to

In your example, 今気づかれていない ("my effort is unnoticed now") is not something
someone said, and it's not related to someone's will. So ったって doesn't fit.

