At a minimum, offending scripts appear to include "regen/embed_lib.pl" (as called by "autodoc.pl") and "base/cond.t" (as called by minitest). Each of them failed hard with a slew of "did you forget to declare variable $such-and-such?" messages.
If it turns out that these do in fact run successfully with "use strict", I will be very confused, because disabling that option in Configure allowed compilation and installation to succeed.