As you stated, other professions disbar, disqualify, ban, in addition there are civil, criminal penalties for (gross) negligence.
I'd not be worried about "honest mistakes" so long as a juries are involved, with respect to specific studies with direct, actionable consequences.
So there would be a difference between some nut jobs proposing a flat earth theory (unqualified), which they simply can't reproduce, to running a medical trial where potentially the medical technicians, MDs, surgeons, etc. might cite and apply a study.
Its fine to have some crazy theory so long as you are not going to present it as some actionable truth - if you publish a study and show negligence and cannot reproduce, then it is known as such. You are welcome to incomplete, possibly outright incorrect theories, so long as they are academic and not cited as mainstream "technology". Its when your bullshit becomes measurably impactful, is when you decide to impose consequences.
Not sure how to write that up in legal terms, but.