Probably a word here should be written about intent.
From what i understand, when legislation is prepared it may not be intended to violate federal, state, local laws as applicable. Occasionally once it is enacted it falls to affected parties to demonstrate to the authority having jurisdiction that a law may have to be reconsidered or rewritten or occasionally struck down. (I.e. when the head of Zenith successfully struck down the precursor to the FCC on or about 1927-8-9. Um, don't hold me to this, its been a while since i read 200 meters down.)
My reading of this is that the unintended consequences of the assumptions the general public and legislators make(s) about radio, antennas, or otherwise reflects how far the hobby has to go to educate everyone else about what makes ham radio that we consider worth protecting- with legal protections in the case of antennas.
Paraphrasing from what i recall, two years ago one of the guys at the club had this battle with his town misunderstanding that ham radio was a private radio service. At the time I advised that he get a formal rejection from that town to appeal to a higher authority for the purpose of having the higher authority demonstrate the difference between private or subscription service (cellular, beeper, etc.) and ham radio. Both categories are governed and licensed by the FCC but that authority clearly had to be educated on the difference.
Back to intent, the Louisiana HOA proposed language noted previously may or may not presumably exempt an swl antenna or tv receiving antenna such as a satellite dish unless a rejection could be appealed with documentation satisfactory to the HOA that said receiving apparatus (including antennas) is not designed to interfere with existing services that were considered important to the HOA. (A plausible hypothetical may be that a community service requires line of sight to a national weather service transmitter or something that was perhaps not explicitly mentioned.) I don't know the circumstances of that HOA, but the framers of the HOA language presumably bear the responsibility to communicate this through the language of the restriction explicitly and or their rejection notice.
I agree with 'VSK, however i'd add that the work that resulted in that sample HOA language as presented or cited here makes the HOA that approved it appear intellectually challenged. Therefore in the context of EHam and QRZ, it may be as simple as reading the law to demonstrate the... intellectual gap a judge would have to fill for said HOA.
To further qualify this, I should explain that I am not an attorney nor do i play one on tv. (By trade i am an archimatect (sic).) However i do have a tv and that might count for something. But don't take my word for it... hi hi.
In a ham radio context, this family of concepts to me isn't too different than reducing harmonics, birdies, or circuit problems with regulation to address anomalies that get in our way and others.