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Wouldn't work. Some people already do things like that - see Sparks' recent posts in the Comm area - but there aren't enough applicants or enough interested people to make it the norm.
You also then get the result of factions simply carpet bombing all adverts that are posted with desperate approvals, because they're all scrounging for recruits. In EVE, there are hundreds of thousands of people, so it's a buyer's market. Plus character skills actually matter there, because they're mechanically a part of the game. Here, not so.
Here, we're massively undermanned and factions will usually take anyone who shows even cursory interest. Skills and suitability don't usually factor into it. Plus people usually design characters specifically for factions they want to join, which favours direct applications.
Feel free to follow Sparks' example if you want, but I certainly wouldn't wish to impose the system on anyone. Too impractical and inconvenient.