I never even considered that I might have a problem getting into the UK any time that I came in, even when it was on one way tickets. Really glad that I never encountered even the slightest problem. The teaching in Tokyo, visiting for the school holidays, always seems to immediately end the Q&A with the IO.
My partner and/or I have been asked about lack of funds in either the UK, US, or Japan. (can't remember which of us, or where) And we just explained that we spend my yen while we're in Japan and his £ when we're in the UK to save on losses in currency exchange.