jQuery: access binary AJAX response inside complete function or access XHR object outside of callback functions?

There are many questions on handling binary AJAX responses with jQuery like this, this, and this. None help.

Goals: (1) dynamically determine if a response contains binary data, and handle it differently from text; (2) analyze response headers; and (3) do both from a single function.

Ideally, this can be done from the complete function, but the complete function doesn't have access to the XHR object. jqXHR is supposed to be a superset of the XHR object, but XHR.response is blank.

The return value of $.ajax(settings) contains the binary data, but the XHR object is no longer available -- so it seems not possible to analyze the response headers.

Is it possible to access the binary AJAX response inside the complete callback or access the XHR object outside of the callback functions? The

// Assume @data contains body and URL values.

let settings = {
    url: data.url,
    method: "post",
    timeout: 0,
    contentType: false,
    processData: false,
    data: data.body,
    xhr: function() {
                // Create XMLHttpRequest object.
                let xhr = new XMLHttpRequest();

                // Handle event for when response headers arrive.
                xhr.onreadystatechange = function() {
                    if (xhr.readyState == 2) {
                        if (xhr.status == 200) {
                            xhr.responseType = 'blob';
                        } else {
                            xhr.responseType = 'text';
                        }
                    }
                };

                return xhr;
    },
    complete: function(xhr, status, error) {
        // Can access response headers but not binary response here.
    }
};

let response = await $.ajax(settings);
// @response is blob but cannot access XHR object here.

from jQuery: access binary AJAX response inside complete function or access XHR object outside of callback functions?