I had to read though everything twice before I had a clue what the issue was. Some people find the colocation "visiting with" strange????
Visiting with and visiting have different usages.
"Where are you going on vacation?". "I'm visiting my parents."
"Doesn't sound like much of a vacation." "We need to visit with the family lawyer about uncle Ned's will."
The first means going to them and staying with them. The second says that you are conducting business or discussing something, usually something important. You could use meet with (I assume everyone can use meet with?) instead, but that doesn't imply the same amount of formality, seriousness, or protracted duration.
To me, they two are distinctly separate verbs in the same way "counting" and "counting on" are separate verbs. Perhaps not quite as different as those two, but I can't think of a sentence where I can interchange the two.
So yes, you can be visiting with a friend who came to visit. Or you can be visiting with a friend you went to visit. Visiting with isn't locative, it tends to be used as an explanation or justification. I flew to Chicago in order to visit with clients.