Thus the purpose of L (depends on value) could be to limit current in the diodes by ΔI=VΔt/L in time domain. The diodes are often driven very hot on a heatsink.
In the frequency domain I(f)=V/(Rs+DCR+ESR+jXL(f)) but only for the duty cycle when the diodes are conducting.
Rs= Diode resistance above 0.8V
DCR= inductor DC resistance
ESR= battery ~= 5V/CCA
Transformer output impedance is low limited by mutual coupling and winding resistance.
L1 impedance Z(f)= DCR + jωL
When diode bridge BR1 is conducting just before peak AC voltage, they are also very low Resistance, Rs (which inverse to diode power rating).
The battery ESR can be even lower in the mΩ (which is inverse with Ah capacity when charged)
The battery CCA rating determines its ESR.
An automotive high current charger shown without the transformer but 16Vp