That is dependent on the GG believing said minority CPC Government, replacing its leader, then facing the House, is doing so for its own advantage, versus the advantage of good government for Canadians.
And that is largely my point, in such a scenario, I feel it would very much so play out as described, if the Tories won a "healthy" plurality in the ~150+ seat range........in such a case, I would doubt very much the Liberals (if junior to the NDP's seat total) would vote against the Government (initially).