Well guys, I'm too old and have too many disappointments behind me to say anything like "I've cracked it", in addition to which I am genuinely and deeply aware that embouchure development is a near lifelong project.
BUT, after six months of rebeginning, during which I several times was on the point of giving it up with the thought that it's not for me, that there is something fundamentally unflutey about the configuration of my apparently more or less normal teeth and mouth - a breakthrough!
Things improved a bit with various little mods: keeping the tube nicely horizontal, relaxing the cheeks, softening the lips near the low notes - and on and on, though all the tips in this thread and more. But today, all day, at every little practice session (I work at home alone) I've had a decent, strong bottom D and E. Room for further improvement, of course, but entirely presentable and workable. The Blarney Pilgrim does not sound stupid or make me consider throwing the thing across the room!
The final trick? Not that this is likely to be the final trick for many people - we have to get so many things right before it comes together. But for me it was letting my lower teeth and jaw drop back (not down) a bit, giving me a bit more overbite than is natural.
This is not a new tip, of course, but it does go to show. There is hope for us all!
(Not that I aim at this kind of playing, of course, nor am I doing anything so unusual:
https://youtu.be/WcHrguRGFMk.)