Honestly no. The female side of the bulkhead connector, on the dash harness, was (and still is) in a very good shape.
If tightening the I/S connections doesn't resolve the problem, I will have a look there.
It would be ideal to find an OEM ignition switch connector like this one :
The best way to improve my I/S connection
Maybe I'm going to restore a good connection with an aftermarket male/female connector.
This implies installing a connector onto the I/S switch, but also onto the main wiring harness.
or this one (maybe easier as the wires are already plugged in) :