To give you a accurate answer. You need better pictures. Pictures of the joint, the shaft inserts, and the butt cap logo. Bill wasn't a prototype cue maker. He perfected the design and them went about making the cue.
In my opinion. The chance for you to get a new replacement butt cap, with the "McDaniel" logo. Is 0.00% Almost any good cue maker could replace the butt, not with the McDaniel logo.
Bill's cues don't twist or shrink, they are made with excellent woods. Now if you store your cue (any cue) in the trunk of your car year round. Any cue may have a problem.
Thanks for the interest.