You can believe in Santa Clause too, it doesn't make it real. Just look at your punchline and think about how non-scientific that sounds. Total snake oil.
We are not talking about an electric motor or hydraulics (though I suspect many would argue against the need of break in there either). 80% of the softening of suspension will happen within seconds, and that is ALL that happens is the suspension softens a little bit, over time, through normal use.
Fi is not one of the companies notorious for building woofers that fail and then blaming it on "you didn't break it in" to not honor warranty. (Audioque sort of made this move famous)
Again, the data I've seen shows that stretching the suspension most dramatically changes TSPs in the first half a minute, then from there they get softer at a much slower rate pretty much through their whole life. I will maintain that without precision test equipment you would be hard pressed to notice a change of 10% in the values that change and I would further suggest that you'd probably potentially have as much varience from one speaker to another just off the assembly line due to manufacturing intolerances.
Of course if it makes you feel better use whatever magic ritual you feel makes your subs sound better or whatever it is this is supposed to accomplish. Might I suggest a 24 hz tone since they say 8hz is the resonance of the earth and we then have a third wave of that (sounds pretty good huh?). Then you can play it for no more and no less than 88 minutes (since 88 is good luck in Asian countries where they make most of these woofers and parts).
While this is happening you can dress in a raincoat and dance around the car banging the largest pot you have in your kitchen with a wooden spoon chanting "say it now and say it loud, I am gay and I am proud!"
How's that for a good bit of snake oil? Much like the rest of this nonsense, will it help (probably just make you look silly for doing it), but it won't hurt, do it if it makes you feel better.