This is just a shot in the dark, but can you try this URL and see if it matches your results?
https://tenant.sharepoint.com/sites/bramer/_layouts/15/start.aspx#/_layouts/15/reorder.aspx?List={ListGUID}
If your results match the ordering shown here, your results are being sorted by an under the hood column called: Order
You could also opt to pass in the View GUID and SPServices will display the items according to that view, at least that's my understanding of how that works.
Cheers,
Matthew
https://tenant.sharepoint.com/sites/bramer/_layouts/15/start.aspx#/_layouts/15/reorder.aspx?List={ListGUID}
If your results match the ordering shown here, your results are being sorted by an under the hood column called: Order
You could also opt to pass in the View GUID and SPServices will display the items according to that view, at least that's my understanding of how that works.
Cheers,
Matthew