Inclusion criteria were 1) minimal one SaRS-CoV-2 infection, as diagnosed by a general practitioner, and 2) being treated by a general practitioner for long COVID-related symptoms, including severe fatigue, brain fog, sleep disturbances, and particularly post-exertional malaise. A control group consisted of participants matched for age and sex to the long COVID group. Control participants could have had a SaRS-CoV-2 infection, but without long COVID symptoms. Exclusion criteria for the control group were chronic illnesses and related medication use or being an elite athlete.
The paper notes that HRV varies with sex and age. It says that the control group was matched on sex and age, which is great, but there was a higher percentage of males in the control group (47.6% versus 31.0% - surprisingly, this was reported with a p value indicating it was not a statistically significant difference, but it seems like an important difference).Long COVID participants had on average a higher BMI compared to the age- and sex healthy controls. Patients with long COVID had a lower power output and oxygen uptake consumption (V̇ O2) at VT1 compared to controls (p<0.001).
There was a significant difference in BMI (23.1 for the controls versus 25.7).
I think the differences in sex ratio and BMI (and presumably baseline fitness) are a problem. I think we would need to see this study replicated with carefully matched controls. As @Yann04 said, it would be great to see the study done with chronic illness controls.