Depends on the converter/charger.. I have my choice of two
Progressve Dyanmics Intella-Power 9180 with charge wizard
and Xantrex prosine 2.0 (inverter/charger)
Both of these are among the very best converter/chargers, in fact You will not find better ones, though for different reasons they are 3-stage converters with one additional outstanding feature (You will find several as good)
IF I plug in and leave it for a year, with new GC-2 type batteries, I need to add distilled water (As they age I need to water them more often) That is with either of these 3 stage jobs.
Some older trailers have the Magnetek 6300 line of power center/converters.
This unit was designed back when the standard shore power was 110 or 115 volt, it uses a very poor method of voltage regulation so the modern 120 volt standard means it runs a bit "hot" (voltage wise not temp wise, a good regulator would get warmer (Temp) not higher voltage) so it can boil a set of flooded wet cells dry in just a week or two once they are fully charged, and this with only a few amps of current.
So the answer to your question: It depends on your converter
I gave you the best, and the worst, you need to find where yours is on the chart (less I named it) If you have an old 6300... Consider upgrading, pull it gut it (remove the electronics) and drop in a Progressive Intella-power 4600.. that is one of the many mentioned in the first converter description. (Functionally identical to what I have, likely a different last 2 digits).