You can use my plugin with these other plugins but any other plugin that uses custom output buffer handlers can interfere with the scan process.
To be clear the message in that screenshot is intended to inform you that your caching plugins can adversely affect the performance of my Anti-Malware plugin, not the other way around. It is important to note that this message is only displayed when the the custom OB handler is detected in the wp-admin area, which means that your caching plugin is interfering with (and potentially caching) your admin pages. This is not the best configuration because caching should only be used on static pages when user-specific content is not displayed. Everything displayed in the wp-admin is dynamic and completely dependent on which user is viewing those pages. It would be futile to cache anything in the admin area and an absurd security threat to display any cached admin pages to any other users.
While caching may help the page speeds on any of the forward-facing static page of your site it would be a mistake to rely 100% on your file cache to serve every request made to your server, therefore it should be a viable option for you to temporarily disable caching on your site (at least for testing and debugging purposes). Additionally (or at least, alternatively), you should be able to exclude the wp-admin directory from being cached at all, which will actually solve all these issues and also ensure that your admin security won’t be compromised by accidentally reveling any cached admin content.
As for your very slow Customizer and Elementor page builder loading issues. Those are most likely internal issues which may only be fixed by the developers when or if better coding leads to a faster interface. However, as my admin warning message indicated, the custom OB handlers in your caching plugins could also be interfering with the performance of other plugins and in your wp-admin pages. So you might want to reconsider temporarily disabling your caching while you retest your sites performance metrics. While your at it, you might even want to run some comparative metrics on your site’s overall load-time and page-speed results (with and without your caching enabled) to quantify the benefits of this caching configuration. If your caching is configured well then you should give you a considerable boost in page speed and overall load times, but I have seen many cases where the site’s performance actually increased with the caching turned off ??
Please let me know if you have any more questions on any of this.
Aloha, Eli