I suspect the airport would be interested in trying out the LIFO approach in this particular location.
For a long time, the budget airline Ryanair used to seat its planes first-come, first-served style. This meant everyone would stand and queue at the gate immediately, sometimes hours before the flight, just so they could get good seats. Fair enough, if that's what you want. But Ryanair switched to allocated seating over a year ago, and yet people still stand and queue long before the gate opens, even though there's little benefit. Can it be worth it just to get to your assigned seat slightly earlier?
It still doesn't really help, and still creates a situation where people jockey for the earliest position within their group, or try to sneak in during an earlier group's boarding time.
Southwest takes it a step further and puts both a group and a position number within the group and has passengers line up by number, so that the plane boards strictly in that order (i.e., passenger A1 boards, then passenger A2, then passenger A3, etc.).
But the group and position numbers are determined by check-in time, which moves the rush to check-in (and the first few numbers can be purchased outright for a fee).
I will end the year with about 100,000 miles (not as many as some people here, but enough to see some shit as it were) and something about airplane flight seems to drain people of their humanity entirely.