Actually when the 'triggers' (the still classified Initiators) used Radio Isotopes to operate, that may have been true.
I understand from an article in the Economist that modern nuclear 'triggers' use a Vaccuum Tube to provide the requisite Neutrons.
The article did not disclose how it is constructed.
That would be quite a trick, having vaccum tubes splitting atoms in order to release their core neutrons instead of the electrons normally emitted by tubes, moreover, how do you get a fragile piece of glass to function inside of an exploding (the conventional first stage) bomb?