I wanted to let you all know that we do have this functionality for the properties that display on the left sidebar of the CRM. Here is an article that explains that. The ability to customize the right sidebar is something we're considering but is not immediately on the roadmap.
For us, it is crucial that we can individually design company data records. The companies in CRM are not homogeneous and must also be represented individually accordingly. Already the fixing or flagging of properties would be a great help to bring more structure into the data. We work with several hundred properties which can have different priorities for each company.