In short, your answer is "I don't know.". Why not stick to that.
The "mood" of the Canadian courts is irrelevant, what is required is that the "requesting authority"
- present sufficient evidence to show that there is SOME prospect of a successful prosecution;
- establish that the alleged offence is contrary to BOTH Canadian and American law (which is why "draft dodger" cannot get extradited but "deserters" can); and
- establish that the maximum proposed punishment does not exceed the maximum punishment available under Canadian law.
In short, the Canadian courts will NOT approve an extradition request for a person accused of committing a murder (which is contrary to BOTH Canadian and American law) so that they can be tried in the Texas courts REGARDLESS of the strength of the evidence available UNLESS the Texas government undertakes that, upon conviction, the maximum sentence will not exceed the maximum sentence available under Canadian law.
The last point is not "problematic" for states which DO NOT have the death penalty, but can be for those which do (as does Texas).
Since those three points ARE covered in the Canada/US extradition treaty, then there is no "right to complain" if the "requesting authority" doesn't meet all three of them (as would be the case if the Texas government were to insist on retaining the right to impose capital punishment [which EXCEEDS the maximum punishment available under Canadian law]).