[alexti]

About the tests. I suggest to take Jotuns or C'tis or Ermor with death mage pretender, research to Well of Misery and then set couple of mages on summon spectres monthly. After 24 hosting 24 turns you'll get 96 random picks (I was choosing multiplication of 8, so that Bummer_Duck's number (may I call it duck number?), which is max percentage of picks concentrated in 3 paths, can reach its ideal value.
Move all non-spectres out and count results in F1 screen. It seems to be doable under 10 minutes (unlike buying mages which can not be queued). I've just run 2 test games:

Game 1.
F-13,A-12,W-13,E-13,S-11,D-11,N-11,B-12. Duck number is 41%.

Game 2.
F-12,A-12,W-9,E-15,S-9,D-14,N-14,B-11. Duck number is 45%.