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Hello,
It could have something to do with WP Rocket lazy loading the ReCaptcha Callback script.
The ReCaptcha callback is in the plugin script wpcf7-recaptcha-controls and looking at the page source we see that WP Rocket is lazy loading the script. We would recommend excluding wpcf7-recaptcha-controls from being lazy loading.
https://docs.wp-rocket.me/article/976-exclude-files-from-defer-js
It looks like you may be able to add wpcf7-recaptcha-controls.js to the area linked above in the WP Rocket docs.