because cats can climb trees are more of a danger to humans than dog/wolves

That's on an individual level only though? Dogs/wolves are pack animals. I once stood in an empty eastern European city street and a pack of smallish/midsize street dogs came running straight towards me. For the first time I truly understood our ancestors fears[#]. If it had been just one or two dogs, especially with their at most middlish size I would not have cared. A whole pack is a very different ball game.

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[#] They just ran past me, fortunately.