And once she was President and dealing with the country with the largest nuclear arsenal in the world, how might her outlook or approach change pragmatically?
Not at all in my estimation. Even "Mom Jeans" Obama underwent the same transformation over the same event and never relented the balance of his presidency (2 years). I have no reason to think Clinton would have deviated from their mutual hawkish position. Putin played them both, and they never forgot it.
The Republicans in congress have prevented it. While approving our most recent (and expanded) set of sanctions against Russia they specifically limited Trump's ability to alter or eradicate them, which Trump had a shitfit about. I guess I can understand why when even his own party's congressmen all but unanimously indicated they didn't feel he could be trusted to enforce their mandate.
Cruise missiles on target
Have those missile strikes done anything to alter the Putin/Assad alliance?
Anti-tank weapons to Ukraine vs. MREs.
I'll give you this one, though it's nothing compared to the damage Obama's sanctions did to Putin's inner circle, and Russia directly.
For those who are particularly conspiracy minded it might even be nothing more than a taxpayer funded means of improving Trump's optics.