That means that the model is definitely not useful for diagnosing ME/CFS then. All of those highly selected homogeneous disease populations exclude many people with diseases associated with dislipidemia; for example people who are obese. The ME/CFS group, as a heterogenous cohort, does not.The production of the model was using 7 disease populations.
Of course, if you have data where the ME/CFS group is the only group allowed to have obese people, you will find that levels of blood lipids are different in the ME/CFS group compared to the healthy group.
From Table 2, the number of people on cholesterol-lowering medication in the ME/CFS group is 15.7%. This is probably normal for people of this age in the UK who are educated and concerned about health enough to be part of the UK Biobank. Indeed a study on the UK Biobank data reported statin use at baseline of 15.4% for its whole population.
(from Association of statin use with risk of depression and anxiety: A prospective large cohort study)
Here are the percentages of people on cholesterol-lowering medication in the other groups of people used as comparator groups in this paper (also Table 2)
Hypertension 9.7%
Depression 0.7%
Asthma 0.9%
IBS 0.5%
Hypothyroidism 0.6%
Migraine 1.7%
No health conditions (C2) 0.8%
Can you see how highly selected the comparison groups are? By not allowing people in the comparator groups to have any health condition other than the one the group is labelled with, you are badly skewing the comparison.
Taking hypothyroidism for example, there's a paper 'Prevalence of Hyperlipidaemia in Adult Patients with Hypothyroidism: A Systematic Review'. It lists out the findings of a whole lot of papers in hypothyroidism.
One study reports the prevalence of Hypercholesterolemia: 48.4%. Hypertriglyceridemia: 32.3%
Another notes that low HDL-C is present in 69.2% of people with hypothyroidism.
I haven't checked the details of those studies, but there is overwhelming evidence that people who are hypothyroid are very likely to have issues with weight control and issues with blood lipids. The selected people with Hypothyroidism control group are not at all normal for people with hypothyroidism.
It's like, I don't know.... having two jars of M&Ms filled straight from the packet, calling one ME/CFS and the other Hypothyroidism. And then deliberately taking nearly all of the yellow M&Ms out of the Hypothyroidism jar. And then saying that 'we can diagnose if a jar of M&Ms has ME/CFS with a reasonable degree of accuracy by looking at how many yellow M&Ms are in it'. This paper is like that.