Thus saith Bish:
It's easy for a Christian Union to view the local churches as an ATM to which they can periodically receive prayer and finance from. Local churches love to offer both of these, but it's really only appropriate if the individual members of the Christian Union are well rooted in the church. Church isn't 'them and they' who can help us, but 'us and we' which we love to be a part of.
I'd go as far as to say that if a leader in a Christian Union is not doing the above they need to repent of that and sort it out immediately. And if they're not prepared to do that they should resign. Likewise, when choosing new CU leaders it would be appropriate for current leaders to make commitment to a local church a non-negotiable qualification.
Read the rest, because it explains exactly how churches and CUs ought to work together.