If HTTP/2.0 had done this right, there wouldn't be a need for your employer to trojan your CA list so they can check for "inappropriate content" going either way through their firewall. (Under various laws they may be legally mandated to do so, flight controllers, financial traders etc.)
But because HTTP/2.0 was more about $BIGSITEs unfettered access to their users, no mechanism was provided for such legally mandated M-I-T-M, and therefore the CA-system will be trojaned by even more people, resulting in even less security for these users.
Likewise, pushing a lot of traffic which doesn't really need it onto SSL/TLS will only force NSA and others to trojan the CA-system even harder, otherwise they cannot do the job the law says they should do.
As I've said earlier: Just mindlessly slapping encryption on traffic will not solve political problems but is likely to make them much worse.
See for instance various "Law Enforcement" types calling for laws to ban encryption or Englands existing law that basically allow them to jail you until you decrypt whatever they want you to decrypt (never mind if you actually can or not...)
Edit to add:
The point about $BIGSITE is that everybody hates it when Hotels, ISPs and Phone companies modifies the content to insert adds etc. Rightfully so.
Any proxy which does not faithfully pass content should be forced to need the clients accept for its actions.
But since such proxies are legal and in some cases legally mandated some places (smut filters in libraries & schools, filters in jails. Parental controls at home, "compliance gateways" at companies) trying to make them impossible with the protocol just means that the protocol will be broken.