I would make a number of observations.
First, the article is structured so as to be weighted in favour of Parker. The headline and the lede are about how LP may be able to treat patients with LC. All the first two-thirds of the article are about the intervention. The response from the MEA is buried at the end.
Second, Parker is described as a ‘Dr Phil Parker’ without making clear that he has no medical qualifications but a PhD in psychology of health. Most people would consider such information important in an article about health.
Third, nowhere is it made clear that Parker has a massive financial interest in LP and makes money from every patient. He is selling a product.
Fourth, the article does not explain that there is no scientific basis to LP nor that his description of the purported processes is mere post hoc conjecture.
Fifth, there is no mention of how his claims to treat these illnesses were subject to scrutiny by the Advertising Standards Authority which found that they could not be justified and so could not be made.
https://www.asa.org.uk/advice-online/health-the-lightning-process.html
Sixth, NICE recently provided guidelines for ME and stated:
Do not offer the Lightning Process, or therapies based on it, to people with ME/CFS
https://www.nice.org.uk/guidance/ng206/chapter/Recommendations
Seventh, the BBC article accompanying the recent File on Four says:
“‘Being in those kind of thoughts is what’s maintaining your symptoms,’ the coach said. ‘They’re not caused by a physical thing any more.’”
https://www.bbc.co.uk/news/health-69040592
NICE guidelines on ME/CFS on the other hand warns:
Be aware that ME/CFS... is a complex, chronic medical condition affecting multiple body systems and its pathophysiology is still being investigated.
I don’t know how much you are aware of the history of ME over the last 30 or so years. A recent column by George Monbiot outlines some of it.
I do not question that some people say they feel better after the LP, but that can be for any number of reasons. Some were getting better anyway. Some may just need a bit of a kick-start after being ill (rather than having properly defined ME or LC). Some may say they feel better without actually being better (study here: https://www.nejm.org/doi/full/10.1056/NEJMoa1103319). Some may just say they feel better to please the therapist (or alternatively to shut the therapist up).
There are people who will say they feel better after any sort of intervention (LP, homeopathy, crystals, faith healing).
There is though (as the recent NICE guidelines found and as all the main US health agencies including the CDC state) absolutely no evidence that any intervention currently available can treat ME. And there is no convincing evidence that any can treat LC.
There is also no evidence anywhere that the LP can treat any illness.