We have Sky fibre interwotsits, which was installed by Openreach as it’s rebadged Full Fibre. I wasn’t given the choice of keeping the old wire and BT Master box, it all came down and was replaced by the fibre equivalent, and my land line plugged back in, though I seem to have lost my listing in the phone book now.
As for landlord/tenant, their home, their choice. Permission could be withheld only if it were reasonable, and it isn’t. Copper is done, you might as well try to keep round Rediffusion selectors or a Squarial on the roof for BSB.