"Well, you'll get an "error". A small one, less than 1/365. Is the "error" due angles or because our earth is orbiting around the sun?"
Your logic is in error.
Basically, your position is that in a heliocentric model, the universe applies a force to the pendulum that holds it steady while the earth rotates underneath it.
However, when you switch to a geocentric model, you assume that the universe no longer influences the pendulum.
I do not make that error, but recognize that the universe exerts the same force on the pendulum whether the model is heliocentric or geocentric.
Make sense to you?
"You still have problems with Einstein's point of view? Every coordinate system (CS) is valid. But not every CS makes sense. This is one difference between math and physics."
The problem is that your own thought process is not consistent. Not that my choice of CS is flawed.