Autogyros adjust rotor’s tilt by tilting the whole head bearing included, forcing the rotor to change plane of rotation.
I’m not sure a spherical bearing is the right choice because you want to control the rotation axis tilt. A spherical bearing tilts freely. Tilting the fixed inner ring of the bearing would exert no influence on outer ring with the propeller
If you want to pass the line through the bearing then simply a large diameter, thin rim bearing would work.
Anyway line-through-bearing seems quite inconvenient, why not a dual propeller like in WindHopper video?
The idea with the line through the bearing allows for stacking multiple rotors on the line to increase lift.
I’m kinda sure having the rotor axially aligned with the line Will add tension but will not tend to lift the line.
I suspect we want the rotor to tilt slightly nose down to aid with lifting
The outer of the spherical bearing can be set to an offset as follows
using a rigid tube through the centre of the bearing and the line going through the rigid tube
The rigid tube can be augmented with vanes and bearing offset guides… e.g. a cuff to hold a thrust bearing set at 15° nose down top and bottom to interface with the top and bottom of the outer ring of the spherical bearing. Top and bottom being defined by the vanes and their relation to gravity and the wind