I'd suggest you check the browser dev tools to see if there is any error reported in the console or a problem visible in the network request for the ajax form submission.
Also, you could change the form settings to disable the option to submit the form via ajax. Given that the form is set to redirect to another page a page reload is required in any case.
I could not find any issues in the console. Granted I did not enable script debugging. I am going to do that and check again.
In general, I am using WP Rocket as the caching plugin and would like to know if there are any settings or compatibility issues between Toolset and WP Rocket. I ask this because I switched to WPFroms registration form with the page caching ON and it worked just fine.
Now I have switched back to Toolset registration form with registration page caching OFF and it works just fine. I had tried to make it work with the page caching ON but the form stopped working after 20 minutes... basically when caching kicked in.
So it seems like the Toolset registration form does not like caching. Is there a recommended configuration for pages with toolset form on WP Rocket? Are there specific JS files I should exclude from delay and defer? I am AJAX on some forms but not on others. Does that impact behavior?
Here is an example of page caching settings with WP Rocket - hidden link
It sounds more like an issue that relates to how scripts are being minified and deferred. The role of cache can only be limited to the delay after which you start seeing a particular issue.
There is no recommended or specific rule when it comes to these optimizations, as each website can have its own combination of theme and third-party scripts and styles. But, we do have a list of files that we recommend for exclusion: https://toolset.com/faq/how-to-use-optimization-plugins-with-toolset/
I'll suggest excluding the files listed under the Toolset Forms and testing the form again, after clearing all involved caches.
If the issue still persists, it would be a good idea to also uncheck the option "Defer JS" for pages where AJAX-enabled forms are used.