Oh really, I didn't know Akamai worked like that.
Do you know of any docs describing the algorithm Akamai or CloudFlare use to decide whether to hit your origin server? I'm a stickler for correctness but it seems to be pretty easy to get into the situation where your users aren't getting what you intended. HTTP cache headers are a mess.
To me it seems safer to code your application so the HTML points to JS/CSS/PNG with content hashes in the URL. Then you don't have any cache expiry issues -- nothing ever expires, but you control the assets exactly through your dynamic HTML.
I think it's important to have fast and reliable rollbacks. You can imagine some situation where private content or offensive text is accidentally included with some static asset... I would like some guarantee about when users stop seeing it (preferably as soon as the application is redeployed).