Okay, I'm quoting the abstract of the paper here:
Although yet to be clearly identified as a clinical condition, there is immense concern at the health and wellbeing consequences of long COVID. Using data collected from nearly half a million Americans in the period June 2022-December 2022 in the US Census Bureau’s Household Pulse Survey (HPS), we find 14 percent reported suffering long COVID at some point, half of whom reported it at the time of the survey. Its incidence varies markedly across the United States–from 11 percent in Hawaii to 18 percent in West Virginia–and is higher for women than men, among Whites compared with Blacks and Asians, and declines with rising education and income. It is at its highest in midlife in the same way as negative affect. Ever having had long COVID is strongly associated with negative affect (anxiety, depression, worry and a lack of interest in things), with the correlation being strongest among those who currently report long COVID, especially if they report severe symptoms. In contrast, those who report having had short COVID report higher wellbeing than those who report never having had COVID. Long COVID is also strongly associated with physical mobility problems, and with problems dressing and bathing. It is also associated with mental problems as indicated by recall and understanding difficulties. Again, the associations are strongest among those who currently report long COVID, while those who said they had had short COVID have fewer physical and mental problems than those who report never having had COVID. Vaccination is associated with lower negative affect, including among those who reported having had long COVID.
Several things stand out:
1. Long COVID, though apparently a very real phenomenon, is not yet "clearly identified as a clinical condition", so it's a little early to be making claims that 25% of sufferers are permanently disabled.
2. The article does not mention permanent disability, and nowhere in it can I find reference to a 25% figure.
That does not negate the seriousness of COVID, nor does it address the long-term implications or even disability of those who suffer from it. It does, though, point out that less than 20% of COVID sufferers end up with long COVID.