No, his Middlesex Regiment records are in the "pension records" on ancestry and they do show that he served with them in the UK from 15 Mar 1915 to 10 Jul 1915 and was discharged "in consequence of his not being likely to become an efficient soldier". I think the cause is shown as "varicocele" but it is a bit scrawly as it was written by the Medical Officer. So I guess he must have joined the East Surrey Regiment when he had recovered enough and then transferred to the Royal Fusiliers.
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