Yes, you're right.
We do not usually use also, as well and too in negative sentences. We use not...either in negative sentences.
Positive: I like you too. Negative: I do not like you either.
Positive: I like you as well. Negative: I do not like you either.
Positive: That effort too came to nothing.
Negative: That effort did not come to anything either.
Nothing is used in positive statements. Anything is used in negative statements.
When we use negative words such as nobody, or nothing, we do not use a negative verb.
He says nothing or He does not say anything (NOT 'He does not say nothing')
'That effort too came to nothing' is stronger and more definite than 'That effort did not come to anything either'.