There are only two things that could endanger Social Security's ability to pay benefits before the trust fund runs out. One would be a fiscal crisis that led the U.S. to default on all its debts. The other would be legislation specifically repudiating the general fund's debts to retirees.

That is, we can't have a Social Security crisis without a general fiscal crisis - unless Congress declares that debts to foreign bondholders must be honored, but that promises to older Americans, who have spent most of their working lives paying extra payroll taxes to build up the trust fund, don't count.

This AP article was one of the better ones on SS until you got to the last line:

In each case, income from the worker's private account, funded with a portion of their Social Security tax, would be expected to at least make up the difference.

Not according to the chief Social Security actuary. Not according to the CBO study of "model 2" which appears to be the closest thing to the not-plan the president hasn't proposed.