No a large company can't spin up a CIC to run a business website (because it is not community interest), but it doesn't need to, it is already a limited liability company. However this is not a farce, the limited liability applies to the shareholders, not the company. The company gets fined, and has to pay the fine or risk having its assets siezed.... then the shareholders have lost their company. The liability of the shareholders is limited to the shareholders invested amount, ie the shareholders can't lose any more than they put in. So if the fine was more than the company can afford, the shareholders lose their company, but don't have to pay the rest.
It is not a farce, because losing a profit earning company is bad for a shareholder