I'm in a unique situation. I've only been out of my chapter a year and a half, and I've been an advisor for a few months on the regional level (dealing with five or so chapters at one time). As an undergrad I was a rep to our GLO's Undergraduate Leadership Board, so even then my priorities were devoted to my chapter as well as the overall organization.
I've dealt with one chapter in particular that tends to ignore all alumni advisement and communication, until the Exec board decides to solicit donations.
My solution was to have a heart-to-heart "conversation" with the board, connecting on a common level (due to our ages) and expressing the general sentiment of the alumni board, most of which graduated 10, 20, 30 years ago. This year the new Exec board has been a lot more cooperative.
But I agree that as you get older and somewhat distance yourself from your own chapter, you're able to switch priorities into advising for the good of many chapters, many brothers (or sisters, where applicable) and your GLO.
(Not even two years out...I've got a longgg way to go)