I think that Airsoft guns can lead one into shooting, because they are made to be as real as possible. People buy Airsoft guns, because of the thrill they get to legally own a 'like real pistol' (if they don't own guns). Kids, unfortunately, have been shot for toting them. A parent could also justify buying their kid an Airsoft gun because they could more-easily handle it, to mimic what they do or teach them the basics. By that justification a kid will definitely be led into the shooting world. Some people buy them for pest control.
I worked at a paintball field as a referee and manager for a summer, as well as played. I do not think what paintball is meant for will lead others into shooting because it is a game, and full of hardcore, loyal players. Most of the kids I played with had never shot guns before, but play like it's their job; they played on serious teams, as well. From what I saw -
shooters have brought in paintball guns that look like the real thing. Take the Rap4 guns for instance - the only groups that carried these on our fields were the militaristic types. Those paintball guns can lead one into shooting, however I believe it is the shooters that brought them to the industry. I might be wrong, but I think they started out as practice guns for military and LE; for training purposes. Gun companies make paintball guns now (Such as SIG
http://www.rap4.com/paintball/os/rap226-internal-p-1570.html ) Companies such as Tippmann are also making realistic paintball guns. So, I guess I would have to say that paintball (these days) can lead one into shooting, because of the realism of guns and the tactics/scenarios involved.
As for archery, I have not shot a bow an arrow since I was younger, but I don't think it has much influence in turning out shooters.