And as your first article details, the "lab accident" theory rests on some lab doing secret virus experiments. Even if you find a whole sea of the virus in some cave, someone will argue they could have gotten there after the first "accident". Good luck disproving that without letting US virologists snoop in every lab in China.
To me "open to the possibility" is a very strong reading of "can't rule it out".
If we ever find the same for SARS-CoV-2, then I believe that pretty confidently excludes origin from lab manipulation (e.g., serial passaging). It would still be possible that the first human infected was on a WIV sampling trip, and not even all that unlikely (since an expert deliberately looking for novel viruses is far more likely to find them than e.g. a merely reckless wildlife trafficker).
If we see evidence in the phylogenetic tree of multiple animal-to-human spillover events--as we do for MERS--then that would pretty clearly exclude any scientific activity as the origin. At the very least, it would imply that even if some hapless grad student did accidentally start the pandemic, if they hadn't then someone else would have soon after. But as you say, so far we have neither.