That really depends on how much they took off the top wisdom tooth.
Also, some teeth are just short in general either due to wear or because of variations in anatomy.
Why would it be short, they made a mold of the old tooth to make a mold for the crown, then they ground the tooth down to the root of the old tooth, and put a temp cap from the mold of the original tooth. My main concern is the grinding off the good top wisdom tooth, the enamel that was taken off and not treated afterward. Or are the commercials on TV for teeth care just conning everyone about enamel ware from acidy foods, and stiff brushes.
It depends. Your wisdom tooth may be short and thus there's a limited amount of space to place your crown. They could potentially create more space by shortening the upper wisdom tooth to create that needed room. If the crown was too thin on top, it would have a higher chance to crack or break.
Can you bite down fully now or is there still a problem with the fitting on the crown with chewing? If there's a bite problem, then it definitely needs to be addressed now.
If its just sharpness on the upper wisdom tooth, they can smooth it out by polishing the tooth.