Locally, for years Harding Park's second required a short walk from the first green to a short straightaway par 4. Then about 10-15 years ago they changed the order so that the then-7th hole became the 2nd, and the 2nd became the 7th. I believe this change was made in the interest of speeding play along from the first to the second hole. Both the 2nd and the 7th were very similar holes, so there wasn't a strategic element to the change.
I understand that with the new renovation they are returning to the old order.