The given statement is false.
It is correct that Cheetah went through a bottleneck in the last ice age, however, it is not correct that it leads to more robust and stronger species. Thus, the statement is false. Genetic bottleneck or population bottleneck refers to a sharp decline in the population size because of environmental incidents like earthquakes, famines, disease, floods, droughts, or fires.
Such incidents can minimize the gene pool variation of a population, thus, a confined population exhibiting narrower genetic diversity passes the genes to the coming offspring generations via sexual reproduction. Thus, bottlenecks are usually not good for species as they decline the genetic variation in the species, thus, making them less adaptable for the new conditions.