It’s cheaper and easier. For infrared you need an infrared diode on the transmitter, and an infrared receiver on the TV. Cheap and easily available parts. For a radio, you would need an oscillator, modulator circuit, and antenna on the transmitter, and a antenna and receiver/demodulator circuit on the TV. More parts, which translates to more expense. The cheaper solution works for the required application, so that’s what they go with.
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