A small outboard charger like that may be specified for 4 amps at full RPM so lets say you get 2 amps at half RPM. If you run the outboard for 1/2 hour at 2 amps, that is 1 amp hour.
2 amps will continuously run a lot of the tiller mount autopilots
1 amp hour will run .3 amps of LED lights for 3 hours
1 amp hour will run many smaller chart plotters for two to three hours.
Getting by on low power requires more understanding and monitoring but some people do this. You would need to decide if that level of charging is important or not.
I think the initial question was on the lines of can I connect the outboard charging wires to the battery while an AC 12 volt charger is also hooked up and charging the battery? You can connect the outboard charging wires to the battery and leave them connected all the time. You dont need a relay or switch. I have my outboard charging system plus a solar charge controller plus a 110V to battery charger all connected to the battery all the time and now for 15 years. Often two of the three will be charging the battery at the same time. Never a problem. All the charging devices are designed to work this way.
What do you need to be careful of..
You have to run the outboard for a LONG time to have this issue but there is some chance of the outboard charging taking the battery voltage past say 15 volts. Just occasionally monitor battery voltage. This may only be something to care about if you were to run that outboard for many hours.
Second, never disconnect the outboard charging from the battery while the outboard is running. Doing this will have a good chance of damaging the outboard charging system rectifier. Example, let say you have run the outboard for 6 hours straight and the battery voltage hit 14.8 volts. You need to still motor more and dont want any more battery charging. Just shut the outboard OFF before disconnecting the outboard charger from the battery. FYI, you possibly could connect the outboard back up to the battery while its running but its easier to just remember to never connect or disconnect the outboard to the battery while the outboard is running.
FYI, my 9.8 Nissan four stroke has some sort of "rectifier/regulator" function that will limit over voltage charging. I dont know how it works. but I have observed it working. The smaller outboard will often just have a rectifier so no over voltage limiting.