Migrate table query_execution with load-from-h2

We have Metabase v0.46.5 with PostgreSQL installed, and we want to migrate it to MariaDB 10.6.11. We are using load-from-h2, but it doesn't migrate the tables query_execution and task_history. Is this behavior expected? Is there anything we can do to include them?

Why are you migrating to MariaDB? There are discussions why we support MySQL/MariaDB and your input would be nice.

The list of exported models is here, we don't serialize these because they are not necessary and can be very large tables.

We are migrating from PostgreSQL to MariaDB because our DBAs do not manage PostgreSQL and only work with MariaDB.
Thank you for your response, it helped me a lot!