Again, I still don't see how this can be extrapolated to testosterone boosters. Naturally occurring levels of testosterone are not synonymous with natural testosterone elevation by the use of compounds. Also, if this study did anything, it confirmed that muscle protein synthesis rates are not the only factor that dictates hypertrophy.
Well assuming someone isn't bordering on supraphysiological test naturally, test boosters wouldn't shoot someone outside of the naturally occuring range, at least based on the bloodwork I've seen done. The second study is the only one measuring the acute, short lived boost in test post workout, the first is comparing the rate of protein synthesis between male in female groups with a large disparity in baseline testosterone levels. It could be that a person's baseline natty test correlates to their untrained musculature, and these studies are only showing that gains made once a person starts training are made independent of those levels. In that case it's more likely that, as you said, the sustained, mild, subchronic elevation in testosterone via OTC natty test boosters would accelerate protein synthesis. By their wording, I'm not exactly sure that's what theyre saying though and I haven't seen the actual studies, so without their methodology I'm not exactly sure if you can infer that or not.
On the other hand it could be that testosterone levels within the normal range aren't a big factor in a person's trained or untrained musculature whatsoever. From the quotations in the text, it actually seems to be that's what the researchers are inferring (though again, without the actual studies you really cant draw any conclusions). If that's the case, then test boosters would be nearly worthless.
I'm leaning more toward the second possibility based on the quote "our findings show that naturally occurring levels of testosterone do not influence the rate of muscle protein synthesis." I don't think any researcher worth his salt would make a claim that broad and profound if he didn't intend it literally. Again, you're right though, we can't really draw any absolute conclusions about test boosters based on this article. I think it's just the murky phrasing though.