"-Nai stem of verbs + なさそうだ" is indeed close to ら抜き言葉 such like 来れる. They are both considered grammatically wrong, but actually commonly used in daily life, especially しなさそうだ.
However, "-nai stem of verbs + なそうだ, "stem of na-adjectives + では/じゃなさそうだ" and "-ku form of i-adjectives なさそうだ" are all grammatically correct, as the second site says. The first site says 様態の助動詞「そうだ」は、…助動詞に付くことはできません。and 「帰れなそうだ」は、文法的には誤りということになります。, but these are wrong. な(さ)そうだ just sounds more colloquial than そうにない.