On my server, if I'll enable/disable "Delete" Right Click Menu action privilege, then account from this role doesn't have "Delete" action for computers in opened "Filter".
Make sure that your account isn't added in any other "Security Role", which has this "Delete" right click menu privilege enabled.
Open "Accounts" page -> click on your Account name and then click "Member Of" tab -> check what Roles are assigned to this account
Also ensure that "Role" which you are using, isn't assigned to another "Role" which has this "Delete" privilege enabled.
Open "Roles" page -> click on your "Role" name -> open "Member Of" tab -> check whether there are another security roles assigned (except "Everyone" role - this role is assigned for any Role by design).
Thanks,
IP.