Cranks but doesn't start using the key. Starts when using a remote starter switch.
New means little.
This was an incorrectly made crimp and incorrect terminal on an M&H harness I bought.
It didn't matter until it started to fail. Then it mattered. Using the correct terminal required using the original plastic connector to retain it. Fortunately I had saved the original harness.
The prob with your car could be as simple as a damaged wire or a terminal coming loose.
The terminals are supposed to be retained in the housing with a barb. If those don't catch, then the terminal backs off when the connector is installed.