Technically, the records do belong to the trust. BUT it is data about you - so you could raise a weekly Subject Access Request (not FOI).
I have encountered some reluctance to share, I think they sometimes think you’re checking up on them or don’t trust them. The way I argued for it with the oncologist was that I wanted to understand the trends in my blood (particularly white blood cells) so that I could make better informed choices about socialising etc.
They know I’m an ex-clinician, that may have made a difference too. Google DR and chat GPT can give really duff information which could send people into unnecessary panics, rabbit holes and ill-advised mitigations. I think they have been reassured that I have double checked with them before acting on my research for new mitigation approaches xx