Any system which assigns/supplies/provides multiple amounts of tickets to one individual facilitates (doesn't prevent) touting. The individual is then in control not the issuer. Tickets can be passed through a indefinite number of people all outside the control of the issuer.
Whilst I admire the FAI stance on this the fact that they are being reactive shows they know there is a problem. Much better to be proactive and implement a system similar to the one I have outlined earlier this evening which would help reduce touting greatly and also reduce this second market at face value which deprives the waiting list members of realistic expectations of joining the block booking.
Once again I'll say the FAI aren't interested as they get their money one way or the other, one fan is the same as the next.