When you think back,after Jeremy was arrested, it was a few days before he engaged a solicitor,as he thought that what he had to say to EP would be taken in good faith knowing that he was telling them the truth.
Anyone planning a murder makes doubly sure that a solicitor is present before a word is said,normally,in the event that they're caught ! Jeremy had no fear of being " caught " because he knew in himself that he was in the clear.
MOST people,guilty or not,engage a solicitor .

No doubt,because at the first arrest,when no solicitor had been present,and soon after the tragedy,Jeremy's statement would have been cobbled together ( edited ) afterwards when it was typed out. Whether Jeremy made notes afterwards I don't know,but he should have done under the circumstances,afterall,EVERYONE else had done.! Talk about being naïve.Jeremy had a lot to learn.