My parents had a dachshund that fit all three traits you described. She was definitely a lap dog (or was she just lazy?) She liked to cuddle. She HATED strangers. So much so that she couldn't be in the same room with them. We don't know if she ever would have bitten anyone or not, but we never let her get close enough to try. She liked our family, and a couple of my brothers friends, but that was it. She also was very protective.
But I know not all doxies are like that either. My best friend has a chi that is the same way. Very affectionate with her & has been around me MANY times & still won't let me pick her up...will barely let me pet her. And is also protective. Unfortunately, I don't think you'd be able to tell at a young age.
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