Second Rejection and Third Attempt
The second journal to which I submitted my brief article quickly rejected it (on 11 July) as being unsuited to their readership, and suggested that
it may be that your work would be better directed to a journal specialising on statistical theory, or foundations/philosophy. (The journal to which I submitted arguably is one of statistical theory; but it leans heavily towards review rather than towards innovation.)
As 13 July neared its end, I submitted to yet another journal. This time, I'm pretty sure that I'm playing a long-shot, but a rejection should come very quickly if it comes, the paper would get relative many readers if were published there, and people in and around my field would be impressed; so I think that the gamble is a good one.