Feature test findOrFail not giving 404 status

I am testing if a user enters a profile page that does not exists in the database. What is the best way to test these kind of errors. I was thinking that if I get a status of 404 it will make sense but I receive an exception.

Here is the test:

/** @test */
public function profile_url_must_be_valid_user_id()
{
    $response = $this->get('/invalid-user-id');
    $response->assertStatus(404);
}

Here is the route:

Route::get('/{user}', function($user) {
    $user = User::firstOrFail($user);

    return $user;
});

But as I said I receive this exception:

Illuminate\Database\Eloquent\ModelNotFoundException

which I can change my test to pass with the following:

/** @test */
public function profile_url_must_be_valid_user_id()
{
    $this->setExpectedException('Illuminate\Database\Eloquent\ModelNotFoundException');
    $response = $this->get('/invalid-user-id');
}

Is this the best way or I am doing it wrong? BTW, there is no issues in my manual testing (browser) As the page redirects automatically to my custom 404.blade.php page.