How do you expect this to happen? The law is pretty clear and afaik 4chan has been pretty explicit that they know the law and they're ignoring it. 4chan's 'out' is that they don't have any legal presence in the UK. More legitimate enterprises do so the results of this will have no bearing on them.
This is important because otherwise UK fines may be enforceable in US courts.
UK law is generally unenforcible in the US except extradition agreements for crimes commuted while residing in the UK. That's not the case here and there's no agreement that applies to this case.
I suppose the action 4chan is taking in US court is exactly to avoid this possibility.
I am curious as to how that could possibly work. Is there some trade agreement that requires the US to respect UK court rulings? Generally the US has sought to distance itself from any kind of foreign influence or control.
If the company is in the UK, then yes, they are obviously screwed. The damage to the UK's web presence has already been done. I don't expect anyone would want to incorporate an internet dependent company there.