Neutrik is made in Lichtenstein, so pure metric, Switchcraft is made in the USA, so pure imperial as is your Fender cable: a slight "incompatibility" is possible.
That said, you could have simply pushed the contact pins towards the center of the jack, it would have been sufficient to firmly hold the male connector of the cable in place.
Furthermore the so called 1/4 inch standard is not a standard at all, take a caliper and start measuring, you'll be amazed.