Log format for specific logger possible?

I was wondering if it is possible to have a specific log format for a specific logger

If I add to a backend
log /dev/log local1

I am still receiving logs on the default logger configured in global “log /dev/log local0”, which is nice.

But now I would like to change the logging format of /dev/log local1. If I just add the log-format format to the backend, it changes for both loggers.