No doubt; the UK CAP 413 style sounds anal and un-cool, but it minimises mistakes and confusion. We generally have extremely good, and extremely clear ATC.
We have to remember that speaking to each other casually as if we were in a bar or at a barbecue, might not survive intact over a low-fi radio link, which is always subject to distortion and interference. So while standard words and phrases might seem unnecessarily petty, they are used for very good reasons - to avoid confusion and mishearings over low quality radio links, which can lead to incidents and accidents. Words have also been selected carefully so as not to sound like other words over a distorted link; hence we say "affirm" or "negative" instead of "yes" or "no", for example.
Had ATC in this instance spoken more slowly, with slightly longer spaces between the words, the aircraft going around might have heard the instruction more clearly. Had the aircraft also spoken more slowly and used standard phraseology to read-back, and had ATC then questioned the lack of proper read-back, the mistake would most likely have been corrected.