I have some authority on this subject....
There are several types of Carebears. Only one is a "true" Carebear, the others might be better called "industrialists", although the various types blur into each other.
The "TRUE" Carebear
The true carebear does not want non-concensual pvp to even EXIST in his game. This goes BEYOND simple pvp and risk avoidance. In spite of what some claim, these guys are not common, not even in empire.
The "Pacifist" Carebear
The Pacifist bear recognizes that pvp is the heart of Eve, but in his heart of hearts, want to avoid all pvp. He like the high sec game, and is highly annoyed when pvp sneeks in. While he does not complain that pvp exists, he thinks it should be a low sec/0.0 thing plus war decs, and otherwise rare in high sec.
He has no problem with better stuff being available only in low sec and 0.0, but demands a few profitable options of his own.
These guys are EXTREMELY common in high sec. I mostly respect this type of bear's playing style, even if I am not this type of bear.
The "Sad" 0.0 Carebear
This bear lives or frequents low sec and/or 0.0, but still avoids all pvp as much as possible. If his alliance is attacked, he is utterly worthless. These guys are the "victim" species in 0.0 (although experienced Sad Bears can be pretty hard to kill).
These players will usually be willing to pay taxes and fees to live in a good area. However, if they form groups and live as "pets", they are usually exceptionally riddled with spies, as they often have NO security against spy recruitment, and focus more on avoiding corp theft.
I don't mind these guys, and even respect them when they are honest about themselves. So long as they pay rent and take some advice on "reducing" (not eliminating, as that is impossible) spies, I'm happy to have em around.
Some folks call these guys "slaves", which is wrong. Slaves can't emo-quit their corp and go home to empire. These guys can quit any time. Also, taxes or not, the smarter of these guys can make a LOT of isk.
The "Industrialist" CareBear (me)
This bear fully respects pvp, but is more focused on industry. However, when pvp is needed, he WILL drop carebearing and strap on a pvp hull, and he will have pvp skills trained.
This bear is NOT worthless for pvp groups, but he often has important Industrial jobs for them (such as keeping their POSs running, even in the event of invasion)
As with "Sad Bears", this bear "Earns" his keep in 0.0 with his labor. Also like "Sad Bears", some of these bears can get filthy filthy rich, even after their taxes. The big difference is that these bears don't mind being told to pvp now and them, although they do expect folks giving such orders to understand that a lot of 0.0 industry needs regular maintanance that CANNOT wait (unless you dont mind POSs going off line, or worse..).
The "Chucky" Carebear
At first glance, this bear looks one of the above carebear breeds. He does the same things they do. But don't be fooled. This guy is a blood thirsty butcher.
However, this guy IS an Eve Industry player (Carebear), NOT a pvper who does a bit of carebearing now and then. The distinction is subtle but true.
The pvper who is carebearing is just making some isk for more pvp. The "Chucky" bear is EXACTLY like other bears in that he take PRIDE in his carebearing. Fine tuned industry at its best, and he made it happen!! However, once his POSs are fueled, his build orders underway, and his assets moved as needed, he will often strap on a combat ship and be found 40 jumps away killing anything and everything.
I work with a lot of Chucky Bears. They are scary.