I had the same problem, here is how I fixed it. (Not ideal but hopefully this gets addressed in next release)
File: /wp-content/plugins/checkout-address-autofill-for-woocommerce/assets/js/autofill.js
Line 196:
if (addressType == 'locality') {
jQuery('#billing_city').val(place.address_components[i]['long_name']);
}
Change to:
if (addressType == 'postal_town') {
jQuery('#billing_city').val(place.address_components[i]['long_name']);
}