Twizy Chargers are both approx 10amps draw the last 3% it drops right off while it does the balancing.
The Mk 1 Twizy charger doesn’t work over 246V AC and will actually discharge the traction battery but not sure how.
The issue with ALL EV charging with a 3 pin plug is not the current drawn instantaneously but the length of time it draws such a large current. Even your compressor is only on few a few minutes at a time so allows the socket to cool down if warm. It’s the same for kettles. However electric fires are like the EV charging and those are the devices that cause the fires in poorly wired houses.
As @peter-ss found, his House Solar panels pushed up the Ring voltage (while exporting) and caused his Twizy not to charge on Sunny days. Solved now at a price.