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Sounds like it could be a loose harness plug to one of your ignition spades on the steering column switch above your feet also.
That's where you hotwire a car..
Make sure they are all properly "clicked" into that ignition switch terminal mounted on your column,where the key switch rod activates it.
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Sounds like a column-mounted ignition you're describing? My Camaro is a '67 and has the key in the dash, as I am sure you know.
But I will check the ignition connections under the dash.