It takes about 3 seconds.
Well, maybe I'm just slow. I would find that if the shooting situation is changing quickly and the battery is getting low I would have to land the drone, power down, swap batteries, get the SD card case, take out the new card, eject the old card, put the new card in, put the old card back in the case (in such a way that I know it's shot), possible swap ND filter and then take back off again. The fewer things I have to think about in a situation like that the better. That's just me.