You can have well-integrated applicative workflows (eg: progress report on a permalink in your front end app), app-restart-proof resumable workflows, and it avoids adding an extra piece of infrastructure.

We use Postgres for that on https://transport.data.gouv.fr (Elixir app which does a fair bit of processing), and it helps.

Not familiar yet with pg_durable though, but I have used or implemented similar solutions and can relate.