This can only be a description of a case where greater evaporation occurs in the hot water, until it is reduced to a smaller amount of water than the original "cold water" at the same temperature, and so freezes faster due to its lesser volume.
So the claim rests on rhetorical ambiguity.
The phenomenon of hot water freezing faster than cold water is known as the Mpemba effect, named after Erasto Mpemba, a Tanzanian student who in 1963 was making ice cream as part of a school project.
The students were meant to boil a mixture of cream and sugar, let it cool down, and then put it in the freezer.
Worried about getting a spot in the freezer, Mpemba instead put his mixture in while it was still scorching hot. But after 1.5 hours, his mixture had frozen, while his classmates’ mixtures had not.
Intrigued by this phenomenon, he went on to work with physics professor Denis Osborne, and together they were able to replicate the findings and publish a paper in 1969 showing that warm water freezes faster than cold water.
https://www.sciencealert.com/does-hot-water-really-freeze-faster-than-cold-water