The one week vs. six months is not duration of symptoms! It is window during which symptoms were reported. So PACE's use of Fukuda required 4 symptoms during the same week, while normal Fukuda allowed 4 symptoms spread out over 6 months. Clearly the PACE definition is a much more serious disease. Here is the quote from the PACE Recover paper:
Nothing was said about the duration of symptoms. I'm sorry you misunderstood the paper in this way, but it is clear that the PACE team used a tightened version of Fukuda, not a loosened version.
But it is a tightening of criteria in order to define recovery hence it results in a loosening of the recovery criteria.
That is if you make it harder to meet the criteria then you get more people who won't meet it which you then define as recovered?
More generally they did something strange with the definition of Oxford in that they added an additional factor that the person had to also meet the trial entry criteria to have passed as Oxford diagnosed. In effect this increased the number of people who counted as not oxford within the data. I think it roughly doubled those who counted as not oxford diagnosis in their recovery figures.