I am sure that there exist searches that do yield the right result. But I stand by my claim that you should be able to go to gov.uk and get the right result, without having to click links that prima facie do not apply to your situation even if it turns out that they do.
https://gov.uk
I'm not sure you're right - I googled "who has to pay higher rate stamp duty on second homes", and first hit was this government webpage: www.gov.uk/guidance/sta... which includes the following - which seems to describe exactly Rayner's situation.
