Hey there! Do you have WHM access to the machine or just cPanel access? The reason you aren't seeing this is because the additional Zone Editor tools are not enabled for the packages assigned to your cPanel account, but these can only be modified from WHM.
If you have WHM access you can go to the Feature Manager page, edit the package assigned to that account, and make sure the "Zone Editor (AAAA, CAA, SRV, TXT)" option is selected, as that will increase the number of options you have on that page. Can you try that and let me know if that resolves the issue?