If you find you can’t vote for a refund, can you instead vote for a substantial (temporary) reduction in levies to offset the amount paid?
That would be one solution, and it would get around the potential one-owner veto. I suspect however that in this case the owner is not actively engaged in the running of the scheme and may not have the political heft to organise support for a levies reduction. This is the downside of not getting involved and letting your committee get on with it – others make decisions and you don’t know how to change them.