Your source never defines what squat variation they are using. All the paper sought to do is see if doing full or half squats had a different effect. Spoiler, the test group that did full squats got stronger.
A high bar squat is not the same as a low bar squat. The low bar back squat position allows for more back angle and more recruitment of the posterior chain.
https://www.ncbi.nlm.nih.gov/pubmed/28570490
"Practitioners seeking to develop the posterior-chain hip musculature (i.e., gluteal, hamstring, and erector muscle groups) may seek to use the LBBS" (Low Bar Back Squat).
This is the squat as taught in the Starting Strength book and videos.
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