you are wrong and have been misinformed, sorry.
The RCA connector has two parts, the center pin (signal) and the outer shell/body (ground). The outer shell/body is connected to either chassis ground, signal ground or both. Some units isolate signal and chassis ground with resistors or a transformer (that is why you can get different meter readings with amplifiers) to lower noise, but it is still a ground. And for a shield, any shield no matter how constructed, it needs to be tied to ground somewhere to dissipate the EMI (Electro-Magnetc Interference) currents that have been induced on the shield BEFORE they are coupled to the signal carring conductors
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