Hello,
1) Appereance>Customize>Woocommerce (Shop)>Products Catologue>default sorting works for the shop page, it was missing, so https://gyazo.com/c71fa97955ec3993c840165b3bef08c0 So, I installed it. This sorting works.
2) Elementor displays that order is available on frontend only https://prnt.sc/10nbla8
I checked the order with the default WooCommerce theme – https://prnt.sc/10nbqrc and with our theme – https://prnt.sc/10nbrhn and don’t see the difference, so everything works according to Elementor settings. So, if you want to get another result then contact Elementor plugin support.
Regards