Laws of nature are descriptive, not prescriptive, laws.
I just gave you the standard definition of determinism, from that definition it should be clear that laws of nature are not descriptions. There is disagreement among philosophers as to whether or not there are laws of nature, and if there are, what manner of thing they are. Think about it, how the hell could determinism make sense if it was a claim about descriptions?!?
So I guess it's important to focus on semantics. I'm usually too busy pondering the concepts to worry about what you call it.
Necessitarianism. That's what you call the most extreme denial of free will. It's not causal determinism because it doesn't address the issue of cause. It's the outcome of considering an objective view of actual events.
Prior to an event we imagine a nest of possibilities. Post event, there is only one actuality.
A causal determinist might imagine that given all the variables in a situation and knowing the undeniable structure of events in time and space, we could accurately predict the actuality that will follow. That seems reasonable. We obviously lack the ability gather all pertinent variables and to this date still lack a complete understanding of how one actual event comes into being. We don't know how moments in time are bound together.
What we do know is that meaning requires contiguity past to future. They say Einstein was fascinated that the ways of the universe are comprehensible. But if they weren't how would we know? We can only be aware of that which makes some sense.
And that is the foundation of the idea of physical law and cause.... that we are aware of meaning in events.
One view is that the mind itself is the organizer. The mind produces experience by placing "stuff" in a context of time and space and physical law. That's how we know about physical law.. it's coming from us. That's why we're so confident that we can predict the future.
Necessitarianism starts with recognition that a state of events exists now. It isn't possible that any part of the universal set of present events is meaningless... or rather... if there are meaningless events, there's no way we could be aware of it. So of the events that we experience, we can say they must be meaningful.