No, clear "handedness" is seen in a lot of animals not just primates. You can see it easily in pets: cats tend to reach with a certain paw, dogs tend to dig wit

No, clear "handedness" is seen in a lot of animals not just primates. You can see it easily in pets: cats tend to reach with a certain paw, dogs tend to dig with a certain rear leg over the other. Horses lead with a preferred side when possible. Similar things are observed in non-domesticated animals like wild birds and whales also. Lateral preference isn't a universal animal behavior but it's very common.