A real diagnosis moves through the system in sequence. First the fuel supply: gas pressure and valve operation, or tank level, filter condition, and nozzle state on the oil minority. Then ignition and flame: sensors, igniters, electrodes, and the flame signal itself. Then the water side: system pressure against the 12–15 psi cold baseline, expansion tank charge, auto-fill valve function, and air in the system. Finally distribution: zone valves, circulators, and radiator balance — because a cold top floor in a three-story rowhouse is usually air or a stuck valve, not a dead burner.
Expect findings explained before any work is authorized — what failed, why, and what the options are. That is the standard for a diagnosis visit, and it is what separates testing from the parts cannon.