Thanks for your time for reporting this.
I have replied you in the other forum thread.
There are no theme-style settings for the AJAX section settings as it’s only for Single Product add to cart button in 1.6.1
Because our implementation on the AJAX add to cart (1.6.1) is only targeting the Single Product Add to cart button. Bricks did not touch the looping product’s add to cart button, as WooCommerce handled it natively.
We will review again if Bricks should overwrite or enhance native Woo AJAX add to cart in the coming future