My view on this is if you don't find any effect or a tiny effect (the case here) that is already useful information. For most supplements, my bet is that you won't even benefit from a placebo effect.
And if you do find an effect, then you should do a more high-effort self-blinded test.
This seems reasonable to me too — first test feasibility, and then if it’s feasible let’s go do a more in depth study. But still, the feasibility result isn’t very interesting to external folks like us, and probably shouldn’t make the news. I think it should _just_ motivate the new study you mention
And if you do find an effect, then you should do a more high-effort self-blinded test.