It's not just the utilization of the site, but there are other factors as well including your vehicle's battery temperature (is it too hot or too cold), state of charge (charge rate slows down at high SOC), and of course the health of the charger itself (are there charging modules that are down?) and total site utilization.
But concentrating specifically on the Supercharger architecture itself, I'll try to summarize some of the key architectural issues. Hopefully someone will correct me if I get a detail wrong.
For V2 Superchargers:
As you know, each pair of pedestals (e.g. 1A/1B) is served by a single charger. Inside the charger are 8 18kW charging units (actually I think they may be able to each hit 19.2kW, but the math is easier if we assume 18). Those 8 units can be allocated individually to each of the two pedestals, so for example, if there are two cars plugged in, each calling for over 72kW of power, the charger should allocate 4 units to each of the pedestals, giving each 72kW. If one of the cars is nearing completion and drops below 54kW of demand, it can then allocate 3 units to the slow car and 5 to the faster one so they make best use of the available power. There may be cases where the first car connected gets more power, but it's supposed to split the power fairly.
If the total site utilization exceeds the capacity of the grid feed, each of the charging station pairs will curtail the amount of power delivered. For example, if there is a 750KVA (i.e. 750kW) transformer at an 8-stall site, and there are 8 cars plugged in all calling for 100kW+ of power, the site will only be able to deliver a max of 94kW per vehicle (probably less due to losses). More on this in the V3 discussion below.
For Urban Superchargers:
Urban Superchargers are similar to the V2 Supercharger except that each pedestal has its own dedicated 4 units (I don't know if there are actually 4 18kW units, but conceptually it's the same). That means that there is no sharing with adjacent vehicles, but you're going to top out at 72kW.
The same site utilization limitation applies.
For V3 Superchargers:
V3 Superchargers are arranged so that each charger cabinet services 4 pedestals, and can deliver up to 250kW to each pedestal. But, there are limitations!
First, each cabinet has hardware in it that can pull in 350KVA from the grid and convert it to DC. If there were a hypothetical 4-stall V3 Supercharger, it's only going to be able to supply a total of 350kW to the 4 cars plugged in (barring any on-site solar & battery--more on that in a second). An 8-stall V3 Supercharger could hypothetically supply up to 700kW to the 8 cars plugged in (so as you can see, this is far below the 250kW simultaneous capacity that most people think V3 Superchargers have, but statistically it's rare that 8 cars would all be requesting 250kW at exactly the same time).
Now up to 7 V3 Supercharger cabinets do share a DC bus. That means that any excess power brought in from the grid and be shared with other cabinets. So if there are 4 cars all plugged into 4 stalls served by the same cabinet, and all requesting 250kW, the cabinet can pull power from other potentially underutilized cabinets (and any on-site solar & battery). Each cabinet is capable of pulling in 575kW from the shared DC bus, putting the total power that the cabinet can supply to its 4 pedestals at 925kW, just shy of the 1000kW needed for simultaneous 250kW charging. That is, if there is enough excess capacity on the rest of the site.
And as mentioned, on site solar and batteries can supply power to the shared DC bus as well.
And finally, as with the other Supercharger types, there is the total site capacity. A utility will only authorize and install a transformer (or transformers) of a certain size. This is usually the limiting factor if there is excessive utilization.
Hope this helps!