IMO if a dog has a ton of hunt, if it can smell a track its going to go. The terrain might wear a dog out thats not used to it or make it more likely to get injured etc but I bet it would still hunt.
I forgot his name but the ole boy that used to post tons of toothy hog pics was in real rough terrain, he always shot over the bay bc he said a lead in cd like most of us use wouldnt make it 3 hunts out there and I believe him, hilly, rocky, and every hog out there was toothy.
That would be Jesse Paul…in his part of the country he didn’t like to use any kind of vest on a dog on account the type of vegetation in his area is bad about hanging up the vests…that was before Garmin tracking but I suspect he still feels the same about the vests…no doubt about it he catches lots of toothy boars…
I also agree with what you said about a good dog…a good to great hunting dog can hold his own most anywhere if given the chance to acclimate…size can be an issue depending on the type of terrain…