This is a strong fact check. You did good background research and found alternative sources for the same information, signaling that it is likely not unfounded. You are also right to point out the dramatization, as an issue can definitely be raised with the choice of the word "traveling", as that implies animals are willingly and intentionally ending up in the UK, when that is clearly not the case. I agree though that the claim is still true, and regardless of this wording choice the article is not falsified or exaggerated.