Older "classic" A250 powered aircraft had no current limiters apart from full "welly" from the Starter / Gen.
The battery would recover after a minute a so and the demand would be acceptable. VR only knows about V after all and they were for the most part analog.
I think from memory 355 F1's onward had current limiters for cross-gen start and earlier ones you could juice up the battery a bit but turn OFF the GEN for start of the second one.
Had one customer with an F who shall remain nameless that would forget on average about every 3 months - ping!
Modern ships have current transformers all over the place and electronic control.