P less than 0.0005 isn't much better because if that's the criteria then you still have to accept that psychic phenomena have been demonstrated in the lab.

The methodology is deeply flawed, given that you haven't stopped accidental p-hacking (publication bias) and deliberate p-hacking (researcher data mining, e.g adding endpoints after looking at results), which compounds to create fake results with astronomically tiny p-values.

You can only trust single, extremely large, canonical RCTs which were announced in advance, and in which you are confident there is no survivorship bias in terms of the possibility that this RCT would have been cancelled had the results been thought to be negative halfway through.

Epidemiology (victim of researcher p-hacking and impossible to deal with confounders) or meta-analysis of RCTs or single small RCTs or RCTs that weren't announced in advance (victim of publication bias) should be taken with a grain of salt. If you accept conclusions drawn from these things at face value, be prepared to accept anything, because the methodology you've accepted is proven to be easily capable of demonstrating any fake phenomenon as true.