After testing around a little more I actually think it might be more helpful and easier to implement, to sort the archive page like the widget (oldest -> newest).
The “previous” and “next” button are not as you might expect it, when getting from services archive to a certain service.
When clicking on the first service of the archive (with the current order), it only has a “previous” button, to get to the second service, which is counterintuitive.