Server-side processing
While many of the content types that ColumnControl has built-in will work with DataTables' server-side processing mode without issue (e.g. ordering buttons), the search content types require additional information to be sent to the server and processing.
The initial release (1.0) of ColumnColumn does not support server-side processing search. Rather that will be added in 1.1, along with updates for the Editor PHP, .NET and Node.js libraries to add support for ColumnControl's search properties.
When 1.1 is available this page will be updated with the additional parameters that ColumnControl will send to the server.
If server-side processing search is particularly important for you, please let me know in the forum and also keep in mind that development of this open source software can be sponsored to help accelerate its progress.