The surface area of the bricks is very much greater than the exposed surface of mortar.
If it had been rendered over the entire wall, that would make a difference, but it's a cavity wall with machine-pressed bricks and a DPC, so unless the gutters are spilling, no particular reason the walls would be damp. Lime mortar is softer and can accommodate a bit of movement. I can see some cracks and gaps in the mortar joints, especially round the arch, which I think need rectifying before repointing the wall. They may be very old. I haven't noticed severe cracks suggesting subsidence. Have a look at the neighbours houses as they will be similar construction.