Suppose we could look at Earth from Venus at that time:
Simulated image courtesy NASA/JPL-Caltech
The central meridian is 101°56' W.
If you observe Venus from that longitude, its hour angle is 0h 0m 0s whether your latitude is 89° N, 27° N, or 63° S; there is no east-west parallax.
The 0° meridian is just beyond the right limb in this view.
Relative to a ...
Meeus provides a fairly simple algorithm in Astronomical Algorithms. An example implementation is available in Rise and Set Algorithm. The code is fairly simple and I have reproduced it below.
A couple of warnings. The first is that the algorithm assumes longitudes to the West are positive, which is the opposite of how most GPS APIs return it. And, if ...
It's not a correction for parallax or refraction. It's a bug. Your understanding that HA is not affected by observer location is correct. (Navigators commonly refer to it as LHA, for local hour angle. The other HA is SHA foe sidereal hour angle.)
Stellarium seems to be mainly for users with an interest in astronomy, users who input their location and what ...