Maybe it’s site or SoC specific based on how dramatic the effect is...
It is.
The (v1 or V2) supercharger cabinet has 12 modules, of the same type used in pre-facelift Model S. The minimum allocation given to a 2nd car connecting is 3 modules (25% of the total capacity). I believe that the overall granularity for sharing is groups of 3 modules (so the split is 12:0, 9:3 or 6:6), though I am not as certain of that as I am about the initial 3.
These modules are limited to 16A per phase (or 40A single phase per module for V1: I don't think there are any V1 in the UK, but that might be the reason for switching in groups of 3 rather than individual and was never revised when they upgraded to the v2 modules). So like in the cars the higher the voltage the more power you get - and in the superchargers they are rated up to the 480/277V of a USA industrial 3-phase feed rather than the 400/230V nominal for EU-spec cars.
At 480V/277V, the modules are rated for 12kW
output power each (not to be confused with the 11kW input power we are used to seeing for them at 400/230V: in that condition the output power is only 10kW).
So in the old days at a site with maximum voltage, it was true that plugging in a 2nd car had no effect on the 1st car's charge rate, as the 1st car couldn't use more than 9 units in the first place (note that at launch with V1 superchargers, supercharging was 90kW maximum; later they upped that to 120kW if the sole car at a V1 supercharger, then V2 came along and you could get just about 120kW off 9 modules and it was back to 2nd car doesn't take away from first).
Now they've done the same thing again and single car at a V2 can get 150kW (not sure if that's "marketing kW", or they've decided they can thrash the modules 3% harder, or if you can only get 150kW where the voltage is above nominal: the original spec sheet for the V2 claimed 145kW maximum at 480/277V).
So nowadays even at a max voltage site a 2nd car can drop the charge rate of the 1st car, but only if the 1st car was taking more than 120kW - which means only some models and only at the optimum SoC and temperature etc.
However, in the UK not all sites are max voltage sites. A few have Tesla-owned transformers and operate internally at 480V - I believe South Mimms is one such as it has battery storage and a non-standard looking transformer (the plans for the as-yet-unbuilt LFE site showed an internal operating voltage of 480V to suit the PowerPack battery units).
Many sites with a dedicated but not Tesla-owned transformer are probably 440/253V (max permitted UK supply voltage and most standard transformers are wound for this) so would expect to deliver 133kW to a single car, and 100kW to the first car once a second has arrived.
Old two-stall sites using an existing supply and/or a transformer at a distance from the superchargers would be more like 400/230V, so 120kW to a single car and 90kW to the first car of two.
And at any of these sites the position will be slightly worse if we are talking about (say) the 12th car arriving at a full site rather than a 2nd car badly parked at an otherwise empty site: the other 10 cars will have dragged the voltage down slightly.