Thanks for all that.
Luckily the shaft itself has very very little play. The kind of play you can't feel, just hear.
There is enough gap when the bolt is tightened on the spindle. It's asking a lot of strength to tighten the bolt, I'm afraid of breaking something if I tighten more.
The pinch bolt looks to be threaded enough.
On the third photo, bolt is hand screwed.
If it's moving so much from a long time, splines, on both sides, may have been damaged.