What if you're two squares away from getting hired, one square bring upgrade and the other a job fair? If the airline wants a job fair appearance and an upgrade you might get called as soon as you finish your IOE. I know of several guys that have made significant bumps to their resume (upgrade, IP or 121 for mil guys), or have attended a second job fair, and have been called within two weeks of the change. Maybe they were about to be called anyway but the frequency of their success leads me to suspect the improvement in their resume was the triggering event.
I asked 10-12 new hires to survey their new hires classmates. Got 84 responses - 63% had attended job fairs. If they had attended job fairs mil guys averaged 1.7 (NGPA, WAI, OBAP) and civilian new hires had averaged 2.5 job fairs.
At most the recruiters are seeing 10-15% of the candidates at job fairs. Given the repeat appearances it's maybe 20% over two years? Those guys are getting 63% of the new hire slots.
With 4000 hrs you're getting into the lower end of the sweet spot. I'd go yesterday.