Pat, green committees are absolutely crucial, as are good chairpersons. I think a club w/o them loses a vital means of communication and in the pocess, the superintendent loses a vital means of enablement and support.
Green committees need to develop continuity. The chair must come from within and rise up through an internal process of socialization rather than being imposed from without annually by a new president. There should be partial turnover on the committeee each year, and terms of 2-3 years so that some learning can take place.
Green committees need to be advocates of the golf course. They need to set aside their egos, their games. They need to attend GCAA meetings, read, spend time in the maintenance shop, and become advocates of the golf course, of equipment, of capital improvement. They are not design committees. Other than any isolated issues relevant to conditioning, they should not be involved in bunker relocation, cart paths, tree plantings, etc. That all ought to be part of longterm Master Planning.
Green committee ought to representa cross-section of membership - all classes and types of players.