Take this paper with a
huge grain of salt. They went on a fishing expedition, then pointed an ML model at the data and reported some clusters. This is...questionable methodology. ML models will find a way to draw a discriminatory boundary for almost any classification problem.
On the other hand, there was this paper [1][2] from the NIH, which was a well-controlled, pre-registered cohort study, did pretty much every clinical test imaginable (about 150 different measurements per person), and found no measurable differences between "long covid" people and controls. This is a much better study, and rebuts the claim.
[1] https://www.medpagetoday.com/infectiousdisease/covid19/98885...
[2] https://www.acpjournals.org/doi/10.7326/M21-4905