How to change client validation behavior in ASP.NET Web.Forms?

Question

ASP.NET

You need to change the behavior of client-side validation - namely, add the class "error" to the parent element of the field and to the container of these fields.
Project on asp.net webforms (framework version 4.5) Added the Microsoft.AspNet.ScriptManager.WebForms.5.0.0
package to the project Added the line to the ScriptManager

<asp:ScriptReference Name="WebForms.js" Assembly="System.Web" Path="~/Scripts/WebForms/WebForms.js" />

Judging by the documentation, when specifying the Path attribute, ScriptManager will load the requested script at the specified path instead of the assembly.
But in my project, he loaded it from the assembly ...
This article describes the work of ScriptManager'a, where it is indicated that in 3.5 some controls load validation scripts bypassing the ScriptManager and as a result the modified script will not be loaded.
Although it says "some" controls, in my project all controls bypass the ScriptManager during validation, while other scripts load normally.
Many advise to override validation functions on page load

$(function(){
        if (typeof ValidatorUpdateDisplay != 'undefined') {
            var originalValidatorUpdateDisplay = ValidatorUpdateDisplay;

            ValidatorUpdateDisplay = function (val) {
                if (!val.isvalid) {
                    $("#" + val.controltovalidate).css("border", "2px solid red");
                }

                originalValidatorUpdateDisplay(val);
            }
        }
    });

But this code doesn't always work because ScriptManager loads them dynamically
Or am I doing something wrong?
As a backup plan, you can simply make your own validators by inheriting the standard ones...