That does not follow. As Giles suggests, the UK does not have a law against Holocaust denial, and the UK is the relevant country for libel tourism, which is the only phenomenon you linked to.

Furthermore, the UK standards for libel are very old, and there has been some success in the UK in reducing them. This is partially in response to pressure from the US, which no longer extradites for speech violations that are not illegal in the US, in direct response to libel tourism.

I'd link to a reference with details on all this, but you already did.