Lattice steel towers, though of stiff construction, will be deformed under load. To reduce the visibility of the deformation, usually these towers are erected with an inclination against the anticipated direction of load.
I have not seen that done with lattice towers, though I have only worked with a limited number of lattice towers. I once had civil engineer tell me that he had to use surveying equipment to notice lattice tower deformation.
For steel poles, pole are often leaned (raked) a few degrees during installation using leveling nuts.
Sometimes near hydroelectric dams the the tower foundations are designed to intentionally lean the tower 30-45 degrees. Here is an example from Hoover dam:
No. For a stub style foundation, each stub usually matches the taper of the tower, so they all have approximately a 10 degree angle. Here is an example of a typical stub angle for a vertical tower: