You don't have to, but you will consume a lot of that power station's capacity charging your 5W's own battery bank. Unless it has a huge battery pack, that 2400W power station won't last long in any case, so better not to use it for battery charging. I suggest disabling the converters charging if you can, but you may still need the converters 12v output if the RV battery is mostly discharged. [Much of your RV runs on 12vdc].
A typical hand-carry 2400w power station has a capacity of about 2000 watt-hours (wh), so less than an hour of use at full load. Even the bigger wheel-around models seldom exceed 2500 wh unless you buy expansion battery packs.