Are the projects truly multi-year, or does Finance need them closed out annually?
We have projects that span multiple fiscal years, but they do so not beause we keep adding to them in perpetuity, but because the deliverable just takes that long.
Seems like, in your case, a "never close" project would just turn into a long, cumbersome project over time that would be more and more difficult to tease metrics and finance data out of.