Insane that there are people denying that this happened. I wasn't born during this period, but being able to download stuff off of terrestrial radio is completely believable. What do people think Wi-Fi or cellular networks are???
I did this in New Zealand around 1985-6 on Saturday mornings around 930 IIRC. It was recorded onto cassette tape and then loaded into our BBC Micro B. We couldn't afford a disk drive. I can also remember typing in many BASIC programs from magazine listings. That was how we learned.