IMO, The main two reasons for CC&R antenna restrictions/prohibitions and HOA enforcement are 1. aesthetics, and 2. safety. Nobody wants to look out their window and see wires or vertical/horizontal poles in their neighbor's backyard, and nobody wants said antennas to fall over into their backyard, causing damage or injury. They could give a rat's a** about RFI or radiation.
While a 70 ft tower with tri-bander mounted on top, sitting on the edge of a postage-stamp size city lot, would probably raise objections for those reasons, most people wouldn't give a "rat's a**" about a dipole strung between a couple of trees in the backyard, except for that small, vocal lunatic fringe minority who suffer from ADS (antenna derangement syndrome) while basking in a personal power trip.
The real reason for the "no antenna" clause is that it was inserted long ago into the standard boilerplate that's conveniently used to formulate HOA rules, thus avoiding the arduous task of formulating a comprehensive set of rules from scratch for each new development. With most HOAs, "antennas" probably never even entered the realm of anyone's mind until someone first confronted the issue well after the HOA had been established, but by then it's too late because the antenna prohibition already exists, for no reason other than that it's already on the books by default.
A comment on boilerplates...
A local ham (nuclear engineer and a US Navy veteran, BTW) serves on his municipalities Zoning Board, and is currently involved in updating their Zoning regulations.
They hired an “expert” consultant, who handed them a one-size-fits-all boilerplate, which, he claims, is the one “Everyone” is adopting.
That’s how it starts, you see.
The Zoning Board has been reviewing the boilerplate ever since, and are insisting on many changes. For one thing, it’s a rural township, so many urban-related items don’t apply. (And I’m not just talking about Antennas).
The Expert has some issues with this. Seems he’s not used to being questioned. I guess his expertise... and his boilerplates... have simply been accepted in the past.