I've got a picture of a BT 1U box in the bottom of a rack with a fibre pair in it.
Heres a tip, as soon as the 'engineer' leaves your house, put the Home Hub 3 straight in the bin.
Its utter garbage and plays Russian Roulette with your connected devices. I'm using an Airport Extreme and have had no problems whatsoever.
That said, I've had no issues with the Modem or the Infinity service itself. Little pricey though IMO.
FTTC installs look like this internally?? (in your houses??)