[JRTJH]

The short answer is "No, a trickle charger (roughly 2 amps) will not charge your battery faster than the converter/charger.

To explain, most trickle chargers provide 2amps to charge the battery "very slowly". Essentially it is designed to "maintain a charged battery without overcharging or evaporating the battery acid". A WFCO 55 amp converter/charger will provide "up to 55 amps" of charge power, minus any power that is being used by the power center. So, if you are using 9 amps to power lights, 2 amps for LP/smoke/CO detectors, 3 amps for refrigerator operation, you would have 55-9-2-3 or 41 amps of available "battery charging capacity". There is some power loss in the long wires from the converter/charger to the battery, so you'll also have some "inherent loss" as well as what is consumed by powering the trailer.

Typically, most "WalMart battery chargers" provide 10 amps of charge capacity, trickle chargers provide 2 amps and your tow vehicle will provide somewhere around 4 or 5 amps. So, plugging into shore power or a generator will provide the most expedient (fastest) means to charge your battery. Remember, the more "other stuff" you turn on, the slower you'll charge your battery.