100hr insp + non profit flying clubs

In the U.S., does 91.409(b) required 100hr inspections for a non-profit
flying club?
Here are some relevant details:

A club (a non-profit corporation in the eyes of the state) is formed
specifically as a flying club, and has no purpose other than to provide
its members with aircraft for private flying and training (commercial
use is specifically prohibited, other than training).

Members are charged monthly dues, and an hourly rate for the planes when
they are flying; all funds are used to maintain the planes. Members are
listed on the insurance policy, and members vote to decide if a plane is
bought or sold; most other duties for maintaining the planes and club
are delegated to a Board of Directors selected by the membership.

If the club ever disbands, the aircraft are to be sold and the funds put
in an account to start a new flying club. I think this point would make
the status of the members of the club who 'rent' the plane different
than a member of a private partnership where each member owns a share of
the plane (at least as far as 409(b) is concerned). I'm not convinced
of this yet, but I would like to hear what others think.

I know this topic has been discussed in this group before, and I thought
it was clear that a club like this is *not* required to have 100hr
inspections. But I have never seen the specifics of the non-profit
corporation addressed for 409(b).

I would like to hear your opinions and thoughts on this. Should the
club send these details to the FAA for a specific ruling?

Thank you!
DanH