There is no 52kwh ID3. The 58kwh is a bigger battery (62kwh gross) and hits 135kw peak (the Fastned curves are all out of date for cars which have been upgraded to software 2.4 or were built after mid 2021, except for the 77kwh battery. The 77kwh battery should get much better too with software 3.0 when it eventually arrives OTA).
The 52kwh ID4 should peak at least as high as the 45kwh ID3. That's about 110-115kw now.
I would agree re temperature. From our experience I've found our ID3 battery will warm up doing 70 (sometimes indicated 73) on the motorway but only slowly. If one is pootling at 60-65 on a cold day it probably won't do much. (Edit, just to add to this. Charging heats the battery a lot more than driving. If you do two short charges on a journey rather than one long one, you're likely to have a nice warm battery for the second. But obviously this is extra faff.)
No other ideas I'm afraid OP. If it's warm and you arrive with 5%, it should charge at full speed. It could be a charger problem?