Not sure why you make a distinction between PvE and non-PvE regarding CCP’s stated ‘need for more destruction’. If they put in the Triglavian invasion and caused trillions of destruction with PvE then that’s part of “more destruction”.
From a non-PvE perspective, CCP used Pochven to break up the standard trade routes and put more risk (both PvE and PvP) near Jita. They yanked the carpet out from under citadel owners with very little notice, and more trillions of citadel explosions occurred. On a smaller scale, they’ve been doing a few “higher drop rate from kills” events to stimulate more PvP. Also, events which could be seen to lead to ships fighting over sites and drops are a (very small) bonus to destruction.
So they have done a few things. The larger/more destructive things they did, are sort of one-time events which also had the side effect of destroying players goodwill towards CCP and probably costing them players.
I made a thread some time back calling BS on the whole “the economy is broken, we need destruction to balance it” idea. It’s just more CCP spin to justify whatever demented direction some dev managed to talk the other devs into.
(The Economy isn't Broken, and Destruction is not Good)
EVE doesn’t actually need gank-PvP for destruction, since it’s been demonstrated that NPC’s can easily out-destroy the PvP-ganker crowd. Ganking as a whole simply isn’t as big a portion of EVE’s economy as all the noise about it makes it seem.
Worrying about whether there is too much ganking, or too little, or too likely to drive players away is missing the point, really. EVE lacks enough destruction because it’s actually got pretty boring, poorly designed combat, and layers a really bad PvP design on top of that boring combat. (This is in general, not to say that some battles here and there aren’t pulse-poundingly thrilling to the participants.)
If EVE had more interesting combat, and if we had more interesting reasons to participate in PvP besides salt-mining for the malcontents or profit-farming for the freighter gankers, then we would have more PvP-related destruction.
Overall, CCP’s “destruction interventions” haven’t really worked, and haven’t led to more destruction (in fact we’re trending to less), because they are addressing the wrong problem. It’s no wonder they get the solution wrong if they’re not even looking at the right issues to begin with.