What I did with GFO was add phosphate to GFO in suspension in salt water several times (maybe over 1-2 weeks) to attain a stable phosphate reading of 0.1 ppm in the fluid. Drained off the liquid, added back fresh water, and measured the phosphate in the water over time.
Clearly, phosphate was desorbing there, and by quantitatively tracking the phosphate, I could start at the bottom right of your graph 1, move up it (although I never went nearly as high as you did), then moved back down the curve durign desorption.
Attaining the same result from both directions is very strong evidence that the process has attained equilibrium and is certainly reversible.
i had intended to compare different brands for binding, but it became too lengthy of an experiment. I only looked at Rowaphos (that I think was claiming irreversibility at the time) and Salifert.