Carebears won’t use this feature. The only reason they beg for it is as a red herring by pretending that they’re willing, when in reality all they hope for is for something to come along that will distract everyone else so that they can continue to farm in peace.
Carebears don’t PvP. They only pretend that they would, if the circumstances are palatable for them (the circumstances, usually, require the absence of said PvP). I’ve played EVE long enough (and sat in many carebear corporations), and played dozens of other survival-type games, that this isn’t just a theory anymore.
Carebears are drawn to games with loot, and account persistence/progression. So I’ll make two example from other PvP games that I’ve played.
H1Z1 was one of the first major survival games on the market. SOE’s president at the time, John Smedley, was notoriously dissatisfied that the board essentially forced him to add PvE servers to the game. There were a lot of debates on forums at the time, with similar arguments that are being made with regard to CCP’s latest arena plans. So, what happened when the game went live? All of those PvE servers became loot vault fortresses, with player structures covering vast majorities of the available land, and players ran around with essentially infinite ammo. Well guess what? They got bored. So what they started begging for on the forums was the implementation of a consensual PvP toggle on the PvP servers, where it was actually fun to play because resources were scarce. I swear I’m not making this up.
Planetside 2, another SOE game, was about a three-way non-stop war between technologically-unique factions. Guess what happened just weeks after it came out? Carebears started coming in, and complaining that they couldn’t farm character progress. They started asking for bots, and safe areas to kill them in, so that they could level up without being interrupted by other players. Once again, not making this up.