The only reasonable objection which occurs to me is if the installation involves putting unsightly new wires across the building. However so few phone lines need that these days that I think it's more likely to be that the LL just doesn't want the (perceived) hassle of having to have the phone cut off and chase Ts for unpaid bills if they don't organise cut-off and payment themselves when they leave.
I also agree that it sounds as though the LL has misunderstood the request.
How is education supposed to make me feel smarter? Besides, every time I learn something new, it pushes some old stuff out of my brain. Remember when I took that home winemaking course, and I forgot how to drive? Homer Simpson