Uber: EU rules will see us pull out of "hundreds" of European cities

This will potentially affect other gig economy couriers used in European ecommerce and also qcommerce (i.e. Deliveroo, Gorillas, Getir etc.).

I don’t think the UK will be coming up with anything similar (BrExit means UK can make its own decisions on such matters).

Also, Uber in trouble with UK Tax authorities over VAT (sales tax) calculations

European regulators are clearly going after technology companies that have made profits based on regulatory inefficiencies,

Will Uber really leave hundreds of European cities?

Who knows. It could be bluster, it could be a reduction in capacity as they align to less flexible models, or it could be withdraw.