Even if one stipulates that it is theoretically possible for an advanced nation (i.e. the US or USSR, not some two-bit Third World country) to build a "suitcase nuke" without the aid of a short-lived Neutron Helper[tm], the question remains of why anyone would choose to give up the advantage of a warhead that will quickly go bad if separated from its authorized chain of command. Again, it goes back to the fact that the Soviets were evil, not stupid.
Fear sells, after all. Worldnet Daily hyped the end of the world with the coming Y2K "bug", in fact, and these suitcase nuke tabloid articles are simply more of the same, designed to pump the adrenaline of the lesser-informed, lesser-educated among our population.
Such authors wouldn't dare mention that one of the things that a "suitcase" nuke gives up is shielding, or that the radiation exposure plays havoc with the conventional chemical explosives inside, or that the radiation degrades the electronic circuits, or that highly specialized maintenance is required for them, much less that the booster component renders such bombs into little more than "dirty" devices after slightly more than 8 years, and they certainly aren't going to mention that the isotopes used in the neutron triggers have a useful half-life of days.
No, they aren't going to mention any of those things because that would reduce the number of Chicken-Little (the sky is falling) types of responses by their readers.
These authors want people to "PANIC!", and omitting the most relevant facts in order to stir such emotions is not beneath them.
Of course, these are the same authors who ridicule their own readers behind their backs every time they see some poor creature post one of their various urban legends such as "the Soviets stored suitcase nukes in Western North Carolina decades ago and now rogue KGB agents have sold them to Bin Laden".
It's reprehensible behavior (by the authors of the tabloid articles). Sadly, such behavior will trick innocent readers again and again.