v2.ODataListBinding - Cannot change 'custom' parameter

This is a feature request.

Summary: It's not possible to change the parameters of class sap.ui.model.odata.v2.ODataListBinding after the object is created, more specifically the custom parameter.

Background [back end]: I created a CDS view for Material search and I'm fine-tuning a OData service using it. So, by using the custom search URL parameter, I can perform a fuzzy search based on material ID or name.

Example:
GET /sap/opu/odata/sap/YMY_SERVICE/Products?$top=20&search=1234

Background [front end]: I created a SelectDialog bound to this entity (Products) and I want to call the service passing the custom 'search' URL parameter using sap.ui.model.odata.v2.ODataListBinding

OpenUI5 version: 1.64.0
(but tested in 1.44.7)

Browser/version (+device/version): ANy

Any other tested browsers/devices(OK/FAIL): n/a

URL (minimal example if possible):

User/password (if required and possible - do not post any confidential information here):

Steps to reproduce the problem:

1. Create a SelectDialog

<SelectDialog 
        title="Select Product" 
        search="onSearch" 
        items="{
			path: '/Products'
		}">
    	<items>
	        <StandardListItem 
		     title="{MaterialId}" 
	            description="{MaterialName}"  />
    	</items>
    </SelectDialog>

2. Implement 'search' event handler

onSearch: function (oEvent) {
    var oParameters = oEvent.getParameters();
    var oListBinding = oParameters.itemsBinding;
    var sSearchTerm = oParameters.value;

    var oSource = oEvent.getSource();
    var oModel = oSource.getModel();

    var sCustomParams = oModel.createCustomParams({
        custom: {
            search: sSearchTerm
        }
    });
     // touching internal variable from class
    // this is what I would like to avoid
    oListBinding.sCustomParams = sCustomParams;

    // There is no alternative similar the one below
    /*
    oListBinding.setCustomParams({
     search: sSearchTerm
    });
    */

    oListBinding.refresh();
    
}

3. The only way I could make things work without touching in the sCustomParams is by using a "manual" read to the oDataModel and transfer it to a JSONModel

onSearch: function (oEvent) {
    var oParameters = oEvent.getParameters();
    var oListBinding = oParameters.itemsBinding;
    var sSearchTerm = oParameters.value;

    var oSource = oEvent.getSource();
    var oModel = oSource.getModel();

    function onSuccess(oData, response) {
        this._oSomeJSONModel.setData(oData.results);
    }

    var mOptions = {
        urlParameters: {
            search: oParameters.value,
            "$top": 50
        },
        success: onSuccess.bind(this)
    };

    oModel.read("/Products", mOptions);
},

What is the expected result?
Have a method in class sap.ui.model.odata.v2.ODataListBinding to change custom parameters values.

What happens instead?
I had to touch the internal variable sCustomParams or replicate data to a JSONModel

Any other information? (attach screenshot if possible)
The same limitation happens for any other parameters of this class which are available in its constructor.