Lifting Procedure: “Changes on the Same Day” vs. “Changes After 2–4 Weeks”—which is correct?

The most confusing part when first considering a lifting procedure is
The point is whether the effects are visible immediately.

I didn't feel much of a change on the day, contrary to expectations.
I've heard that many people actually feel their lines become more defined a few days later as the swelling subsides.

But the real change in elasticity
There is also talk that it gradually rises after 2 to 4 weeks due to the collagen regeneration process.

In the end, compared to the first impression
I became curious whether it is more important whether they are the type whose changes accumulate over time.