> By that standard, any optimization that changes scaling in any dimension changes semantics
That doesn't follow. This isn't like going from driving a car to flying an airplane. It's like going from driving a car to just teleporting instantly. (Except it's about space rather than time.)
It's a difference in degree (optimization), yes, but by a factor of infinity (O(n) overhead to 0 overhead). At that point it's not unreasonable to consider it a difference in kind (semantics).
Modern C compilers are able to transform something like this:
for (int i = 0; i < n; i++) a += i;
To:
a += n * (n+1) / 2;
Is this an optimisation or a change in program semantics? I've never heard anyone call it anything slse than an optimisation.