Plane survey setting up over known point: Any point in setting instrument height?

As per the title. Is there any case for setting the instrument height when doing a plane survey, when setting up over a known point?

At face value in a perfect world it doesn't matter (or does it?). But as far as my understanding of total stations goes: They have built in calculations for correcting any alignment flaws. Vertical angle errors would have a very small affect on horizontal distances. But maybe any effects are insignificant. Although I might be able to figure this out in CAD with a bit of time, it's way easier just to ask someone smarter. So here we are 😉