Do any home remedies really cure ingrown nails?

Removal...: ...Is the only permanent solution. Just the painful border can be removed, or the entire nail if necessary. After removal you can let the border grow out again, or your doctor can use a chemical to stop the nail from regrowing. If you're concerned, don't perform bathroom surgery on yourself. That can lead to an infected ingrown toenail, which could require antibiotics.

Not really: To cure and ingrown nail it needs to be removed with matrixectomy performed. Any podiatrist can do this in the office and takes just a few minutes to do.