This is now out.
Reminder: Study only compares people with multiple infections to those without, not reinfections to first infections.
"If you fell twice, are you worse off compared with person who only fell once, especially if falls correlate with frailty in the first place".
Study design of that reinfection preprint below.
Day one: Alice and Bob are infected.
Day, say, 45: Bob is reinfected. Alice is never reinfected.
Six months later, Alice is in better health than Bob. That's *all* the study measures.
Not comparing first vs further infections.