[wasabi991011]

It depends if you consider "speedup" to mean dividing the runtime or applying a function to the runtime.

I.e. you are saying and f(n) speedup means T(n)/f(n), but others would say it means f(T(n)) or some variation of that.

[morepedantic]

The man, or llm, used the mathematically imprecise definition of exponential in a sentence with a big-O notation. I don't think he's going to be writing entire arguments formally.