The server admin at the site which WILL export even with https said:
The internal URLs that called the wkhtmltopdf executable didn’t work through HTTPS. So I configured Apache to allow HTTP requests that originate from the same system.
The other issue I found was a mismatch between the version of OpenSSL utilized by wkhtmltotpdf and the version that was installed on the server.
If wkhtmltopdf writes files within the html root, then that folder would need to be owned by the Apache process, and the “httpd_unified” SELinux boolean would need to be enabled. I just checked, and the /system/_lib/prod/third/wkhtmltopdf/linux-amd64 folder is owned by apache, and the “httpd_unified” SELinux boolean is enabled.
I checked ownership of the wkhtmtopdf folder and contents, and it’s the account user, not the Apache process. Does that jive with your experience?