Anyway , the regulator is sitting there to regulate and eliminate a fair bit of noise , ripple and ESR .
yes after the Regulator, the ripple current is what makes Capacitors fail an having 2 is a standard. Rule of thumb is 2 caps in parallel are always better than one big cap. On a side note useing 2 capacitors for filtering is also useful. Polyester and polypropylene have inverse Thermal Coefficients, it makes them thermally stable.
also the Regulator isn't the best at Ripple Rejection(14) f = 120Hz, VI = 18.5V to 28.5V 54.0 70.0 – dB
and the diods are useful
Operation With a Load Common to a Voltage of Opposite Polarity
+VI mA78xx +VO −VO 1N4001 or Equivalent Reverse-Bias Protection VI mA78xx +VO mA7800 SERIES
Figure 5. Regulated Dual Supply
In many cases, a regulator powers a load that is not connected to ground but, instead, is connected to a voltage
source of opposite polarity (e.g., operational amplifiers, level-shifting circuits, etc.). In these cases, a clamp diode
should be connected to the regulator output as shown in Figure 6. This protects the regulator from output polarity
reversals during startup and short-circuit operation.
Figure 6. Output Polarity-Reversal-Protection Circuit
Occasionally, the input voltage to the regulator can collapse faster than the output voltage. This can occur, for
example, when the input supply is crowbarred during an output overvoltage condition. If the output voltage is
greater than approximately 7 V, the emitter-base junction of the series-pass element (internal or external) could
break down and be damaged. To prevent this, a diode shunt can be used as shown in Figure 7.