My 25G has a 30A service and a WFCO 8955 converter (55 amp charger).

I'm considering a WFCO Lithium replacement converter (it's only a 50 amp charger though).

Does the distribution panel limit the maximum charge current based on available current after all loads are totaled up?

Meaning:

After a weekend of dry camping, I need to recharge the batteries.
If I'm running the A/C's and some other stuff cleaning up; I'm around 28 amps now from shore power.
It doesn't leave much for charging before maxing out the service.

From the spec's, for charging, the converter draws about 6A @ 120VAC for max charging (14.6VDC @ 50A), but
I only have 2 amps left.

The 25G has load shedding, so it's supposed to cut off the water heater, one or both A/C's to keep it from over loading.
Does the battery charger have priority for max charging or only uses what's left?

I know it's kind of a really technical question, but it would help me decide if buying a separate charger for the batteries would be more practical. As mentioned in another post by @Heavysledz, plugging it into shore power separately might be better.

I'm putting in 554 Ah LiFEPO4 battery bank, so less than 50A charge would take more time than I want.