What version of async are you using?
v3.1.0 and also master branch

1. until
   The example source codes are as below:

const results = []
async.until(function test(page, cb) {
    cb(null, page.next == null)
}, function iter(next) {
    fetchPage(url, (err, body) => {
        if (err) return next(err)
        results = results.concat(body.objects)
        next(err, body)
    })
}, function done (err) {
    // all pages have been fetched
})

But, test function can have only callback function argument. It cannot receive page argument.
When I print out arguments in the above test function, it has only a function as arguments.
Please check this.

2. whilst
   The example source codes are as below:

var count = 0;
async.whilst(
    function test(cb) { cb(null, count < 5;) },
    function iter(callback) {
        count++;
        setTimeout(function() {
            callback(null, count);
        }, 1000);
    },
    function (err, n) {
        // 5 seconds have passed, n = 5
    }
);

In test function, semicolon seems to be located at the wrong position.
Maybe, the below code is intended.

    function test(cb) { cb(null, count < 5); },

And, in parameter description of test,

asynchronous truth test to perform before each execution of iteratee. Invoked with ().

I think its last sentence seems to be modified as Invoked with (callback) according to the parameter description of until.