It really doesn't matter how complex the transmitted signal is, if it gets swamped by a larger one, the RX regards it as a "lost" signal, and responds accordingly. In all probability, the more complex the signal, the more liable it is to corruption. Complex handling of the signal allows for a proportion of frames to be lost without any noticeable effect, but exceed that number, and the RX, if so fitted, will go into its alleged failsafe mode. Failsafe is usually "stick full back", which, for the majority of the market (planes) is "off", which causes them to come down. For boats, it usually results in full reverse, which is never a good thing. On old type radios, loss of signal just meant a loss of output to whatever was plugged in, modern, so-called "clever" receivers are quite capable of having a response built in that keeps an output going. There probably isn't a way to reprogram the RX, only the TX, which doesn't help.
While 2.4GHz is immune to the more conventional forms of interference, being way, way, out of band of the regular sources of interference, with all of the other devices now using the band, low power model control can be swamped and/or crowded out. Loss of range would be the first symptom, since the signal strength that the receiver gets from its bound TX reduces with range, and there will come a point when the unwanted signal from the interfering source is strong enough to swamp enough information frames.