Medical records are confidential. Your AME and GP are under no obligation (in fact they are obliged not) to release your medical details to anyone other than another medical professional and only then if they can prove they have a need for the info and that you consent to the release.
That said, your prospective employer's medical team would count in the list of people entitled to know. All your recruiter is allowed to ask the medical department is whether you are fit to be employed in the company. They are not allowed to ask any other questions. If the company occupational health doctor is satisfied that you are fit to fly then all uis well.