You will have to make that decision yourself. What answer would you expect to have from this site?
Go to a site or sites other than Intel and Zotac, and then ask your question.
I expect to have recommendations at least from people who use the Akasa case with Intel NUCs.
You asked for a comparison between the NUC and Zotac ZBOX. You will not get product comparisons here.
If someone is using the Akasa case, then they will respond.