Well in all my years of gaming, excluding Elite I've never seen anyone try and pass off interacting with the game (and not other players); as "PvP".
So I'm not sure what circles you move in, but it must be hard to decide to play a game when they cannot tell the difference between Players V Player and Players V Environment.
I'd certainly get annoyed loading Ark up expecting to shoot players and find out "PvP" was who can chop down trees the fastest and there was no way to harm a player.
That's a blatant strawman and you know it. No-one said anything like that. If, however, you are breaking apart the other player's base, then yes, it is PvP, even if you never fight the player directly. That is what you are doing if you undermine in PP.
So when I played Destiny 1, went into the PVP crucible, played a game in the "Rift" game mode, and won by repeatedly grabbing the rift and scoring against the other team OF HUMAN PLAYERS without ever firing a shot, you're saying I was actually playing PvE?
What about games with no combat at all?
If I play FIFA against my friend, there is no combat (well, not unless we are REALLY sloppy in our tackling ;p), so does that make it PvE? No, I'm playing against a human player, not against the computer, so it's PvP.
Edit: Oh, another good example, ESO. I don't play, but my wife does, has done since launch, and the main PvP mode in ESO until recently (they just added an arena mode) was Cyrodil. In Cyrodil, there is a huge open map, and players from the 3 factions travel across the map attacking each others Castles and Resources. This can be conducted entirely without everseeing an opposing player, indeed there are groups who specialise in sneaking in behind enemy lines and attacking these targets without having to fight enemy players. It is still PvP, and if you were to go there and tell them they weren't doing PvP, you'd be laughed at.
It may contain specific instances of PvE combat, but the game mode itself is PvP. This is exactly the same as PP. The only difference is that in ESO you can't enter a different instance from the opposing players while still attacking their forts and resources to avoid having them attack and kill you to defend the resources you are attacking. That is what Elite currently lets you do. By entering solo or PG you can attack the assets the opposing players are building without them being able to defend against you.