I am a CFII, AGI,IGI, as a Chief Pilot would you prefer to see these credentials and a humble attitude over just a CFI or CFII who is just building time?
Are you talking about getting another CFI job or non-CFI job?
For a CFI job, it may put you ahead of the curve, but certainly in my case, it matters not. It can however show a more positive attitude, but then again---if you flaunt it, it will be a detriment to you. In reality, the AGI is really just another written test---I would probably leave it off a resume and let them find out when they pull your records.