Correct by all accounts. Genetic bottleneck and inbreeding depression has been rife in the species and I seem to remember that cheetah have gone through more than one bottleneck in the past (I think I did read that somewhere, but cannot recall how, where and when. If I do find so, I will post it .... here).
Make of it what you will: 2 bottleneck inbreeding depression events:
QUOTE:
"The first bottleneck event that cheetahs may have undergone occurred around 100,000 years ago when cheetahs expanded their range into Asia, Europe, and Africa. This range expansion is believed to have occurred rapidly, dispersing the cheetahs over a very large area and thus restricting their ability to exchange genes.
The second likely bottleneck event occurred about 10,000 to 12,000 years ago, around the end of the last ice age. In this bottleneck the cheetahs of North America and Europe went extinct, leaving extant only the species' Asian and African populations. As large mammals died out across the world, the number of surviving cheetahs dwindled, which caused extreme inbreeding. Even though the number of cheetahs grew to as many as 100,000 during the 19th century, their genetic variability remained low due to the extreme bottleneck event that took place thousands of years previously."
UNQOUTE
Source:
Cheetahs: On the Brink of Extinction, Again
Apparently, a named founder event at 100,000 years ago with modern cheetah evolving in North America. Molecular phylogenetics research signalling cheetahs closest living relatives are pumas and jaguarundis, researchers posit a possible dispersal towards Asia that may have produced the first genetic bottleneck leading to initial reduction in genetic variability punctuated by regular population reduction as well as limiting gene flow through territory protection.
In another twist, ancient DNA shows a fossil puma species (Puma pardoides) from Europe suggesting a migration route over one or more lineages from Asia into the Americas and thus North American cheetah (Miracinonyx) actually being more closely related to present day pumas and jaguarundis.
More recent late Pleistocene bottlenecks for eastern and southern African populations would further deplete variation in both populations ....
Source:
Will evolution doom the cheetah? - Understanding Evolution