But your sample size is too small.
True.
But I believe even the CAA, predecessor agency to the FAA, had some requirements for longitudinal stability for airplanes. Current FAA requirements state:
https://www.law.cornell.edu/cfr/text/14/23.2145
§ 23.2145 Stability.
(a) Airplanes not certified for aerobatics must -
(1) Have static longitudinal, lateral, and directional stability in normal operations;
(2) Have dynamic short period and Dutch roll stability in normal operations; and
(3) Provide stable control force feedback throughout the operating envelope.
(b) No airplane may exhibit any divergent longitudinal stability characteristic so unstable as to increase the pilot's workload or otherwise endanger the airplane and its occupants.Also:
§ 23.2150 Stall characteristics, stall warning, and spins.
(b) Single-engine airplanes, not certified for aerobatics, must not have a tendency to inadvertently depart controlled flight.
And while the following Part 25 longitudinal stability requirements apply to transport category aircraft, I believe many Part 23 happen to meet the same stability requirements which are even more stringent:
https://www.law.cornell.edu/cfr/text/14/25.173