dnd 5e – Do cursed items require attunement in order to curse you?

Most cursed items, like the Armor of Vulnerability, require to you attune to them in order to become cursed.

Curse. This armor is cursed, a fact that is revealed only when an identify spell is cast on the armor or you attune to it. Attuning to the armor curses you until you are targeted by the remove curse spell or similar magic; removing the armor fails to end the curse. …

While others, like Demon Armor, appear to not have that requirement and aren’t worded to say that you are the one who is cursed.

Curse. Once you don this cursed armor, you can’t doff it unless you are targeted by the remove curse spell or similar magic. While wearing the armor, you …

Are there items, like Demon Armor, that do not require attunement in order to curse you, even if you are able to attune to it? Are you being cursed or is only the armor cursed?