Spring horizontal movement you can get from the output results and verify if spring swing is within 4deg. Its an output basically not an input in your case.
secondly what I advised above to fix all DOF the spring top (Node30) which will be pivot point to check spring displacement at node 1020. there is no relative dispalcement at the top which is common location for your guide and spring assembly weld-on eye plate connection.

The Guide GAP with pipe has nothing to do with sping eye plate connection, its a fix connection assuming your spring eye plate will be welded to same vessel cleat. once it is welded it has no relative displacement and will move same as cleat movemement due to different locading scenarios you have created load cases for. Due to guide gap, pipe horizontal movement can be seen at node 1020 in output summary.

My advise is to follwo simple rigid element methodology which i mention above and keep your model simple if you are not aiming for something else.