Nothing to debunk. The source clearly says that SSA beneficiaries are getting the COLA as calculated by the law passed some decades ago. That COLA is 0% (actually less than that, but 0% is as low as it goes). Most SSA beneficiaries are on Medicare and have Medicare Part B premiums deducted from their checks. The Part B premiums are increasing. So the gross payment is unchanged, but the net payment is reduced by the amount of the increase in the Part B premium. Those are the facts.
I see that it is expected that Part B premiums will not go up this year, and, while Part A premiums will go up, hardly anyone pays them. So you are correct, SSA net benefits will not be changed next year. I am pleased, since I am one of those collecting them..