Whether or not the lie would have been different if the stick was moved, the rules do not allow provisional throws for this situation.
809.02 B. says when provisional throws are allowed.
B 1 allows provisional thows when the disc "may be lost, out-of-bounds, or have missed a mandatory" (plus other requirements). This disc was none of these, so B 1 does not apply.
B 2 allows provisional throws in the case of an appeal (echoed in 801.03 Appeals C.). There was no appeal in this case, so neither B 2 nor 801.03 C allow for provisional throws.
The rules do not allow provisional throws merely because players would prefer to shirk their duty to know and enforce the rules. The rules do not say: when in doubt, throw a provisional. (Yeah, there is case to be made that they should but they don't.)
In this case, if the group was not willing to even vote on whether the stick could be moved, then they didn't reach a majority decision. So, 801.03 applies:
"When a group cannot reach a majority decision regarding a ruling, the ruling is based on the interpretation that is most beneficial to the thrower."
Gannon should have been allowed to move the stick and played on.