The accumulator plays absolutely no part in the running fuel system. It is located next to the fuel filter and fuel pump under the car.
Its purpose is to maintain fuel pressure in the sealed, shut-off fuel system. This is necessary to prevent boiling the fuel in the injectors during the heat soak after hot shut-off. This boiling can cause vapor lock and difficult or impossible hot restarts.
Since the accumulator plays no part in the running, I would find the running problem and fix it before worrying if the accumulator is affecting your hot starting.
Owner 24 bay BSC
Bosch Master, ASE master L1
26 years MB technician