If I meet the 3rd Automatic Overseas Test then it does not matter how many ties I have - I would be automatically classed as non-resident. It all hinges on whether my flights are deemed to begin or end in the UK.
For such a simple question seeking professional advice is rather akin to using a sledgehammer to crack a nut. I feel sure there are many similar colleagues on here who have examined this question and can offer a quick answer.