You may be confusing SSI with SSDI.

SSI, Supplemental Security Income, is a low income program for the disabled and elderly. If you are under age 65, you have to be found disabled in order to qualify. If you are 65 or older, you can be healthy and strong and able to work and still get SSI IF you have limited income and resources. SSI helps the poor disabled and the poor elderly. If your income from other sources, like Social Security Retirement, pensions, worker's comp, VA, etc. and it is over the SSI limits in your state, you can't get SSI. If you have savings in the bank, IRA, 401k, non-home property, second car worth over $2000, you can't get SSI. This is a simplified explanation.

SSDI is Social Security Disability Insurance. The same program that pays your Social Security Retirement benefits. If you apply for early retirement Social Security, you get a permanent reduction. If you wait for full retirement age, currently age 66 and moving up) you have no reduction. You can apply for SSDI after age 62 even if you are on Social Security Retirement, but if you are over full retirement age AND there is no retroactivity in your disability claim, the issue is moot. Nothing will change. But, if you get SSDI at age 63 or 64 or 65, then there is no reduction for age.

SSA will probably see many more and more disability claims after age 62 since full retirement age is heading to age 68 and people will try to avoid reductions in monthly benefits.