Do the fixes differ for hot and cold lines?
The repair options are the same for both: a spot repair fixes one leak at one point, and a reroute runs a new line overhead and leaves the old line in place. What changes is which option fits, and how the new line is routed.
Hot lines face more expansion and contraction as they heat and cool, so the joints and bends on a hot run take more stress. When a hot line has leaked once, the technician looks closely at the rest of the run for the same wear. A hot run with wear along its length may suit a reroute.
Cold lines face less heat stress, but they still wear from hard water, soil movement, and pressure. A cold line with a single leak and a sound run often suits a spot repair. Either way, the condition of the whole run, not only the leak point, shapes the choice. Read the full comparison on spot repair vs repiping.