Confusing Series Order

I've been thinking about giving Clancy's Jack Ryan series a go, because why not. I figured, at the very least, I'd give the first book in the series a go. That is, until I found the order list. Check this convoluted shit out:

 

Chronological order of the Jack Ryan series:
1. Patriot Games
2. Red Rabbit
3. The Hunt for Red October
4. The Cardinal in the Kremlin
5. Clear and Present Danger
6. The Sum of All Fears
7. Debt of Honor
8. Executive Orders
9. Command Authority
10. Full Force and Effect
11. Commander-in-Chief

Published order of the Jack Ryan series:
1984 The Hunt for Red October
1987 Patriot Games
1988 The Cardinal in the Kremlin
1989 Clear and Present Danger
1991 The Sum of All Fears
1994 Debt of Honor
1996 Executive Orders
2002 Red Rabbit
2013 Command Authority
2014 Full Force and Effect
2015 Commander-in-Chief

 

So, do I go chronologically or by publishing date? Have any of you read this series? Does it matter? Holler at me in the comment section.