Sorry, but I don't believe you are correct. The AC input side did indeed list a 350kva max input for each. However, the DC output side was definitely listed at 250KW max output on each cabinet which means each stall could be limited to 250/4 or 62.5KW ea, unlikely but possible. More likely at a full station are two cars tapering down at say 25KW each and two cars arrive and plug in at around the same time. That leaves about 100KW max each until the first two finish. Regardless, unless you are the only car connected to the cabinet you will certainly not get 250KW.
Sorry, you are incorrect. Each cabinet is rated for 4x250 kW DC output - 250 kW per post.
As stated earlier in this thread:
1. V3 cabinet is rated for 350 kVA 3-Phase AC Input (qty 5 70 kW AC-DC inverters)
2. V3 cabinet is rated for 575 kW DC Input (880-1000VDC 640A)
3. V3 cabinet is rated for qty 4 250 kW output (qty 10 DC-DC converters for charging cars)
A V3 Supercharger Cabinet uses a 880-1000 VDC high voltage bus internally that is can also used to share with up to 6 other V3 Cabinets (7 cabinets total)
By itself, a single V3 cabinet can output around 350 kW, or almost 90 kW / post. A dual cabinet V3 SC like
Valdosta, GA is capable of about 700 kW total output. So yeah, if it's full you're pretty likely to not get 250 kW peak charging speeds, but given that most people charge to 80% at which point you're only charging at 50-60 kW, you're still pretty likely to get some pretty fast charging speeds on a V3.
Keep in mind that V3 Superchargers aren't any faster than V2 Superchargers above 50% SOC or so on a Model 3. So don't expect any additional speed topping off the car. All the additional speed is below 50%, and like any other Supercharger, if the place is busy, you can get a reduction in peak charging speeds.
On your trip from Franklin, NC to Orlando, FL, yeah you can charge to 100% in Valdosta, and potentially skip stopping in Ocala, but yeah, that will take longer.
I suspect that perhaps you saw lower peak charge rates due to cooler temperatures and a cooler battery pack than normal. Unless the pack is nice and toasty (50C+) you aren't going to see peak charging rates. Did you set the Supercharger as a destination in the car navigation?