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@Dr_Ishmael, @mvnla2, with your data combined with mine, the average snoutlings offering is as follows:
My runs+mvnla2+dr_ishmael: (104*5.38+118*5,75+88*6,33)/(104+118+88)=5.79 in 310 visits.
If I use my data combined with the LC re-rolled offerings:
(404*5.88+118*5,75+88*6,33)/(404+118+88)=5.92 in 610 visits.
It clearly does not really matter a lot whether you re-roll or not. The statistical difference with the amount of measurements is not very significant (0.13).
Additionally, I have not seen any serious change in offerings with the addition of rank 10 birds. It seems clear that the dojo offerings are based on 3 pools regardless of the amount of classes available. Single class snoutling offering, all classes for one bird LC and all birds all classes LC. This has been a steady line all the way upto the last available class, after which the snoutling offering will always be present until that class also reaches rank 10.
Hope it adds somthing to the research.