bottom to me is how tough a dog is. when you can't find a dog's bottom, that means he can take all conditons i.e. heat, cold, rough terrain, lack of water etc. all day long and then some and it won't phase his ability and desire to hunt.
stick is how long a dog stays with game...
i've seen dogs with more bottom than stick, and you can have a dog with a lot of stick and very little bottom.
the later are the ones you loose to heatstroke, dehydration, always sore footed ect. because they have more stick on a race but not enough bottom to finish it.
but this is a grey area subject, and this is only how i see it.
you make some good points but I can't see having stick without bottom or bottom without stick...it is the same for me but then it may not be for someone else...