It's funny you say that as I am not known for my optimism! But yes, I do think plenty of people are capable of listening to a programme and getting the message. I don't think much, if any, critical thinking is required in this case - the reporter has done that job and presented it in such a way that the reporter's message on LP for long COVID is clear. (I appreciate that some think it was too open, happy to agree to disagree on that.) What the audience will take from it is just speculation, whether that's me or you speculating, and we've no way of knowing the truth. Your point that the public view of ME is grim is well taken. Much of that will have transferred to long COVID, and will inform how some people who hear the programme react to it. And yes, the positivity/hope brigade is always there. But you could think long COVID is nonsense, and still listen to this programme and go, that's a swindle.
I also think it's possible that a larger proportion of the public are sympathetic to those with long COVID than to those with ME/CFS/PVFS. Quite a lot of people got hammered with a hefty enough dose of COVID that they got a bit of respect for the virus.