If I activate logging for a rule, I would like to see the ACTION at the log, without adding prefixes. Otherwise I don't know, if the packet is dropped, rejected or accepted.
Your logging rule decides if it is DROPPED/REJECTED/ACCEPTED within a certain chain and you have to LOG-PREFIX that to make it clear in your logging otherwise there is no extra info.
So yes, setting the prefix is an additional action you need to perform in your daily management of rules to make logging more interesting.
There is no other option that I'm aware of.
I have dozens of different prefixes, I can't say it has been a real burden to foresee one if I want to make something visible in the logs.