We're talking about two independent capabilities, so I'm not sure I understand your question.
It appears the SR charge profile is limited to 102kW. If that gets increased (as I suspect), it will be done via software update. I don't know when (or if) that will happen.
The V2 Superchargers are currently limited to 120kW for any given stall. (Ignoring Urban Superchargers which are limited to 72kW.) This will be updated to allow 145kW to any given stall. I recall this takes a firmware update that must be done onsite. This has started to happen but it's difficult to determine to what extent.
I can't remember where I read it, but a Model 3 LR, running 2019.7.11, charged at 145kW at the Santa Clarity Supercharger in SoCal. That site is listed as having a 120kW capability so we can't yet use the navigation system or Tesla's online Supercharger map to determine if the Supercharger is an updated V2 site. (We should probably call these V2+ sites or something...)
It appears the current SR cars would all charge the same on V2, V2+ and V3 sites and be limited to 102kW.