minor point on German situation

[context]

So some German states are trying to ban online poker - in order to protect their state "monopoly" lotteries. This is illegal under general european law regarding gambling, but that never really hindered people before - it's a pretty minor piece of legislation so it could easily slip under the radar of most people who cared.

But, it's also illegal under even more serious european law - that of the right to free trade and free movement of workers within the EU.

Surely, if a professional poker player from the UK were to relocate to Germany and played poker online, it would be illegal for that German state to restrict their legal working rights? Online poker is not only legal with the UK the government is actively promoting it.