What's the point of dragging Jano into this. I'm not calling his work into question lol.
He's a highly competent analytical chemist who runs a great lab providing a crucial service at an accessible price. That doesn't make him a biopharma guy any more than a great architect who designs hospitals is a brain surgeon.
I assume he's got better things to do than spend time reading about the pharmaceutical nuances of a particular compound as a hobby
Anyway. since the very technical references aren't exactly light reading, as a proxy I'll quote the plain english instructions from commercial rHGH.
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Omnitrope® (somatropin [rDNA origin])
“Once the diluent is added to the lyophilized powder, swirl gently; do not shake. Shaking may cause denaturation of the active ingredient.” 
Genotropin (Pfizer)
“Gently tip your pen from side to side to help dissolve the powder completely. Do not shake your pen, as this might stop the growth hormone working."
MiniQuick (Pfizer)
“Do not shake the GENOTROPIN MINIQUICK. Shaking may cause the growth hormone to not work as well."
Genotropin Pen (Pfizer)
“GENOTROPIN is a prescription product … Do not shake pen, as this might stop the medicine from working.” 
Saizen® (somatropin)
“To reconstitute SAIZEN, inject the diluent into the vial… swirl the vial with a GENTLE rotary motion until contents are dissolved completely. DO NOT SHAKE."
Humatrope Vial (Lilly)
“Do not shake. The reconstituted solution should be clear. Inspect visually for particulate matter and discoloration.” 
Humatrope Pen (Lilly)
“Be sure to gently invert the Pen up and down 10 times. DO NOT SHAKE. Then, let the Pen sit for at least three minutes.” 
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To doubt these means multi-billion dollar pharma companies all caution against agitating rHGH because they just like to "say shit" based on a myth.
That none of their thousands of experts on staff would stand up and say, "You know, that's not correct" at any point in the last 30 years.
If this isn't sufficient, and you want I'll be happy to give you the heavier stuff that goes deep into air interface unfolding rHGH, but there's nothing straightforward about it and your eyes will glaze over.