Well said as are "Power" and "Energy". 10+ years back I used to sell Solar PV and the confusion amongst people who should have known better was bad than mixing up kW and kWh !!! And now, there is still more when people talk about X number of kW storage instead of kWh storage!!!
Let's be clear kW is Power
kWh is Energy
Motors have Power
Storage is of Energy
What is called a Home Wall Charger is an "Electrical Vehicle Supply Equipment" (EVSE)
What we call a "Granny Charger" is a "Portable EVSE" and enables "Level 1" charging via a domestic 3 Pin Plug
Level 1 charging on Portable EVSE works at up to 10 Amp ie around 2.4 kW
Level 2 charging is at 3.6 kW or usually 7.2 kW Also known as 3 or 7 kW or "Fast Charger"
NB: Simple public and workplace charging are usually "Level 2" and it is the norm in the UK to require the EV Driver to provide their own "Type 2" charging cable.
"Type 2" describes the EU wide standard "Mennekes" or "IEC 62196 Type 2" AC plug connector on the Car's end of the cable and distinguishes it from the smaller "Type 1" or "SAE J1772" developed for the Japanese market (hence the "J") and found on earlier 24 kWh and 30 kWh Nissan Leaf and some hybrids such as the Outlander. In the US Type 1 is still the standard.
Side note the Renault Zoe when launched had an unusual charging system called Chameleon which only used Type 2 both for 7 kW single-phase but also had 3-Phase AC charging capability up to 43 kW but this wasn't adopted. Early Teslas had the proprietary "Tesla Connector" based on the Type 1 connector but I'll say no more as in line with the EU ruling Tesla now also uses Type 2 CCS.
CCS is the "Combined Charging Standard" which all new EVs in Europe must be fitted with the "Type 2 CCS Socket or CCS Charging Port which is a Type 2 AC socket with 2 Pin DC port beneath. Note when Rapid DC Charging the DC Pins provide charging while the safety checks and communication between car and charger go via the small connections in the Type 2 section of the "Combined plug".
EVs have "Onboard Chargers" that convert AC (Alternating Current) into High Voltage DC (Direct Current) which is then used to charge the "Battery Pack" controlled by the BMS (Battery Management System)
"Battery Packs" also called an "HV Battery" or "Traction Battery" comprise numerous low-voltage "Battery Cells" (ie on the Gen 1 ZS there are 108 "Cells" in the "HV Battery Pack")
Rapid and Ultra Rapid Chargers are Level 3 and truly are "Chargers" providing DC by-passing the onboard AC to DC onboard charger and pumping DC directly into the vehicle's HV DC battery pack
There are a lot of terminologies involved with EVs and I know people develop short cuts because we don't want to become an engineer just to drive our EVs but sometimes it helps to be clear. I guess if when you pull up at a Rapid charger and call it an "Electric Pump" it's okay as long as you then know to use the CCS Tethered Cable so you can get the full benefit of your MG to charge DC rather than grabbing the AC Type 2 Cable because it looks familiar and will plug into the top of your CCS without realising your MG (in UK) can only charge at 7 kW and take several hours to charge rather than minutes on the CCS. I kid you not I've seen it at the motorway services.