It seems perfectly reasonable and rational, that as beings whom identify as something other then human, we would tend to relate more with creatures and forms more attuned to our kintype. For example, a dragonkin would relate with reptile pets such as snakes and monitor lizards, more then they would with the typical dog or cat, or for another example, they may possibly be more enthused or impressed by reptile characters or reptilian representations in the media then they would be by none reptile or human characters.
Likewise, an otherkin whom identifies as a unicorn, pegasus, nightmare or some other equine form would likely be drawn to horses, it seems to me only natural for otherkin to relate with what is familiar to them on a spiritual or identifying level. It seems only logical that instinctual creatures would be drawn more to that which they identify with.
In that regard, it is common for a dragonkin to purchase a large snake or reptile as a pet, or equine kin to purchase, rent or care for a horse of some sort, and so on and so forth as they identify with the creatures. Of course like all things, there are obvious limits, but common sense and discretion should be obvious. But in defense of us kin with different pets or associations, it may simply be nature for us, to each their own.