Point is no one can definitively say whether or not that's the case. An undefined value doesn't constitute evidence. "But it's possible...": see below.
Remember: this is always technically true. This is important. Remember this.
Tempering has never been subtle. If you insist on pressing "But it's possible...", see above.
If it's neither actively nor passively controlling anybody, it's not really tempering. Bears repeating: Hydaelyn has never compelled anybody to do anything. If her blessed chosen could be compelled, why would she not compel those who defy her will and invite catastrophe to, you know... not do so?
People hear Hydaelyn's call and assume she is a goddess; that's a misinterpretation on their part due to limited knowledge.
I don't recall any explicit, let alone compelled, commands from Hydaelyn. "Fight the Ascians," "drive out the Darkness," etc. are either eminently necessary for self-preservation or incredibly vague. She never says "Go to Ishgard and kill the Ascians pulling their strings because I'm a goddess and I say so," or such. We haven't even heard from her (directly at any rate) since 3.0.
Bears repeating: now armed with truth, we haven't gotten Hydaelyn's side of the story. "She didn't care about killing lots of people" is the least generous interpretation of her actions, but it's just that - an interpretation without context. Maybe it was an accident. Maybe it was a grim necessity for a greater purpose. Maybe she was just following her programming regardless of consequences. Or maybe she really did say "Screw these guys!" and break the world for shiggles. We don't know.