What we can and do prohibit is their using their AQA position for commercial gain.
Suffolk County Council claimed the downgrading of AQA examination board results in English played a part.
But AQA said this would mean awarding C grades for work below the standard.
The two exam boards, AQA and Edexcel said they would not be making further comment.
Stephen McKenzie quit the exam board AQA on Wednesday after 16 years as a GCSE English moderator.
The AQA exam board says it will offer the exam from the autumn.
In his resignation letter Mr McKenzie said the grade boundary shift was "the worst decision ever made by AQA".
Last month the alliance served court documents on England's exams regulator, Ofqual, and two exam boards, AQA and Edexcel.
AQA's first cohort will take the exam in summer 2014 - with 231 schools signed up to teach the subject.
It has served court papers on exam boards AQA and Edexcel, detailing the case for the exams to be regraded.
Pupils who lost exam work in the blaze were told by the AQA examination board they would still be awarded grades.
But Edexcel and AQA said they had acted properly and Ofqual argued it had acted in a "clear, principled and transparent" way.
The subject is being offered by the OCR and AQA exam boards.
The alliance has written formally to Ofqual and the exam boards AQA and Edexcel challenging the refusal to regrade GCSE English papers in England.
The three organisations also suggest there should be just one exam board in England, rather than the current three - Edexcel, AQA and OCR.
The boards AQA and Edexcel have been defending their roles in shifting grade boundaries, on the second day of a judicial review at London's High Court.
On its website, Keynote advertises courses taught by examiners from some of England's chief exam boards, although none of the courses advertised feature examiners from the AQA board.
In a statement AQA said emergency procedures were already in place to ensure overall subject grades could still be given where work is lost in incidents such as fires or floods.
King Edward VI secondary school in Bury St Edmunds, where the AQA English exam is taken, said 53% of its pupils got the five GCSE A-C grades, compared to 64% last year.
"It is not correct to say that AQA adjusted grade boundaries more than other exam boards and we are not aware of any evidence that would support this view, " a spokesman said.
The AQA board, which has the largest market share for English GCSE, said in an earlier statement that it had "followed the correct procedures and awarded the right grades" but understood students' disappointment.
He added that AQA had reneged on guidance to schools about the standard needed to achieve a C grade and said that this had hit the most vulnerable part of the student population hardest.
Earlier Clive Lewis, QC for AQA, said the board had followed official guidelines in deciding to alter the grade boundaries between the January and June papers and was satisfied that the June results were correct.
The case against the regulator Ofqual and exam boards AQA and Edexcel had been brought by a total of 167 individual pupils, supported by 150 schools and 42 councils, plus six professional bodies, including teachers' unions.
In his letter Mr McKenzie quotes emails from a senior English assessor at AQA who states that the changes to grade boundaries between January and June did "massive damage" and "instantly hit the most vulnerable" pupils.
The case against the regulator Ofqual and exam boards AQA and Edexcel has been brought by a total of 167 individual pupils, supported by 150 schools and 42 councils, plus six professional bodies, including teaching unions.
"Other exam boards have changed their grade boundaries, as they do most years, but it's the unprecedented scale of AQA's changes in English between the January exams and the June exams that we see as unfair, " he said.
The TES says the Mr McKenzie's resignation letter and the emails reveal "that assessors from AQA, the board with the biggest market share in GCSE English, were just as concerned as their Edexcel counterparts about the grading changes".
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