The kickstart is persistent until you turn off the power.
I went through my disk-drawer and can conclude that my original A3000 was shipped with disks marked:
A3000 Kickstart V2.03 [367245-05 International A3000]
A3000 Install Disk V2.03 Rev2.8 [335603-04 International A3000]
Workbench Version 2.03 [317954-04 International A3000]
Extras Version 2.0 [317235-02 International A3000] - Yes 2.0, no mistake.
Workbench 1.3.2 [367270-01 International A3000]
The Extras 1.3 disk has unfortunately been replaced and I can't find the original.
The A3000 I bought second hand was delivered with:
A3000 Kickstart [367245-02]
(Install disk is missing.
)
Workbench Version 2.0 [317945-02]
Extras Version 2.0 [317235-02]
A3000 Workbench 1.3.2 [367270-01]
Extras Version 1.3 [367272-01 A3000 English]
I don't have an Amiga available at the moment so I can't verify what is actually on the disk (if they are readable).