In general, mammals with a well-developed hyoid apparatus are able to produce a wider range of sounds, including purring, roaring, and other vocalizations. For example, cats have a very flexible hyoid apparatus, which allows them to purr, while dogs have a less flexible hyoid apparatus, which limits them to barking and howling.
Sabertooth tigers belonged to a group of carnivorous mammals known as feliforms, which also includes cats, leopards, and tigers. Feliforms typically have a well-developed hyoid apparatus, which suggests that sabertooth tigers may have been able to purr. However, it is important to note that the hyoid apparatus of sabertooth tigers has not been preserved in any complete specimens, so we cannot be certain whether or not they actually purred.
In addition to the hyoid apparatus, other factors that may have influenced the vocalizations of sabertooth tigers include the size and shape of their vocal cords, the length of their trachea, and the size and shape of their nasal passages. These factors are all difficult to reconstruct from the fossil record, so it is likely that the mystery of whether or not sabertooth tigers purred will never be fully resolved.
Nevertheless, the study of the hyoid apparatus and other anatomical features of sabertooth tigers can provide valuable insights into their vocal capabilities and behavior. By understanding the vocalizations of these ancient predators, we can gain a better understanding of their evolutionary history and their role in the ecosystem of their time.