I guess that depends on what you call an "intermediate mass" black hole and how massive you think a "star" can be before it collapses without burning out its hydrogen, first.
At least in theory, a gas cloud can become a black hole without becoming a star, first. What happens inside such a black hole after the event horizon is formed would not be known outside of the event horizon.
But, the original article did say
"There are many hypotheses about how supermassive black holes came to be in the early universe. Were they born in the immediate aftermath of the Big Bang from microscopic primordial seed black holes that have been growing ever since? Or did they get a kickstart in their growth by forming through the direct collapse of an immense gas cloud thousands of times more massive than our sun?" [emphasis added]
and
"best fits simulations that depict supermassive black holes growing from the collapse of the very first, extremely massive stars."
with
"Rather than exploding as supernovas, however, these primordial stars quickly collapsed in on themselves from their own gravitational pulls, forming what are called intermediate mass black holes (more massive than the typical stellar mass black holes produced by supernova explosions today, yet less massive than the supermassive behemoths)."
The point was
"The next generation of stars that formed would have been unable to form black holes of such huge masses, because their birth zones were irradiated by ultraviolet light from other nearby stars and buffeted by the shockwaves of nearby supernovas, which would have altered the conditions for star formation. The next generation of stars were more "normal" stars with masses typical of what we find in our galaxy today."
So, basically what I originally said: It is postulated that there were not enough stars to prevent the first large gas cloud collapses that created intermediate mass black holes. Whether or not the postulated gigantic first stars actually emitted radiation that heated the gas to prevent future collapses before they disappeared into black holes seems to be an unaddressed issue in the article. The culprits in the article seem to be "other nearby stars and buffeted by the shockwaves of nearby supernovas", which would not be coming from those massive stars that did not supernova.
So, basically, it appears to mean that some of the first stars were big enough to collapse into intermediate mass black holes without going supernova, while other stars, also probably "first generation" but smaller, did last a while and change the star-forming environment with their emissions of UV light and shock waves.