Was Poincare crushed by the New

Poincare had quite some problems with the
formal revolution that took place as well
in the last 100 or more years, starting with
things like naive set theory and its antinomies,
ending with computer formalized proofs of the Keppler
packing nowadays. He wrote a lengthy book:
Science and method
by Poincaré, Henri, 1854-1912
https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up
His struggle starts at page 160, The New Logics.
Similar Einstein was New Mechanics for him.
Mostlikely Poincaré nowadays would be a form of
Sabine Hossenfelder with 100 YouTube videos and
possibly many followers. Poincaré faced the
destiny of any old fart that became irrelevant
over the time and turned into a commentator.