OK, so the RCD you have is shared. It's Type A and Dual Pole.
"Regulation 722.531.3.101 of BS 7671:2018+A2:2022 states that unless the circuit is supplied using the protective measure of electrical separation, each
charging point incorporating a socket-outlet or vehicle connector complying with the BS EN 62196 series is to be protected individually by an RCD of Type A, Type F or Type B and having a rated residual operating current not exceeding 30 mA. The RCD is also required to disconnect all live conductors."
electrical.theiet.org
So the current RCD arrangement doesn't meet the standards. The main issue is likely to be nuisance tripping, but it's also possible that other things are creating DC leakage, which may add up to more than the type A RCD can handle. I'd argue that the other components on the shared RCD are unlikely to be used at the same time as the car is charging.
I'd personally be happy using this arrangement, but it's not to current standards. (I'm not an electrician. I do have a working knowledge of the components and safety devices involved).
I'd be more concerned around the plastic consumer unit "fuse box" (depending on the location and impact on escape route if it caught fire) and ponder if I wanted to spend the extra on an all metal unit rather than sub-boards.
You might be able to find a electrician that's willing to simply replace the charger on the basis that it's an existing circuit which met the standards which existed at the time of installation. You can hopefully use the above to explain the situation.