I do realise the general answer is about availability of materials and both work. But ceteris paribus, talking about noise, the prospect of a timber terrace does seem.. unappealing?

IME (in the UK) noise comes through windows, not (external, including to an attached neighbour) walls.

Modern 'partition' (those between rooms within a dwelling) walls aren't brick, but typically between semis or in a terrace the dividing walls are. You might hear the neighbours in the garden through the windows, but not through the wall between your adjoining rooms.