No, WebP Picture plugin checks each HTTP request and returns the old jpeg or the new webp picture depends the customer browser. Google Page Speed plugin add the new HTML tag <picture> on the HTML page. I advise you to use WebP Picture plugin.
I was looking at this plugin over the WebP Images plugin because this one supports nopCommerce version 3.7. Can there be support for the WebP Images plugin and nopCommerce version 3.7?