Jquery ajax not triggering when hitting 'warning'

Question

I have an ajax call connected to a search that is calling an api that is spitting back jsonp results. This seems to be working fantastically except when they type something that is not there.

I get back a jsonp file in the console that is giving me a 'warning'

jQuery3600877660906184312_1652368192872({
    "status": "warning",
    "messages": {
        "generalMessages": [{
            "messageID": "1027",
            "messageCriticality": "warning",
            "messageText": "You provided an invalid field name."
        }, {
            "messageID": "1027",
            "messageCriticality": "warning",
            "messageText": "You provided an invalid field name."
        }, {
            "messageID": "1027",
            "messageCriticality": "warning",
            "messageText": "You provided an invalid field name."
        }],
        "recordMessages": []
    },
    "foundRows": 0,
    "data": []
})

I have tried to account for this in my ajax call by adding a "fail" and a "warning" just hoping to catch it so I can handle it. Nothing seems to want to catch this though. Any ideas?

var encoded = $.toJSON(search)
    $('#animalList').empty();
    $.ajax({
        url: 'url' + encoded,
        dataType: 'jsonp',
        success: function (data) {
               // do stuff
        },
        warning: function (xhr, status, error) {
            console.log('warning');
        },
        error: function (xhr, status, error) {
            console.log('error');
        }
    });