Ball Screw Non Drive End Floating Bearing Design Variants and Help

[Halbmond]

I saw a design for angular contact bearings with a back to back arrangement for a floating bearing arrangement.
So I placed my FK30 fixed bearing to bottom without lock nut and spacer collars.
Do you think,it is possible the shaft can have a relative movement with the bearing inner ring like that ? normally floating space is given to the bearing outer ring, and it can slide inside the housing.

https://www.myodesie.com/index.php/w...ading/Bearings