Is there a problem with A/P in these birds?
No. But there is a problem with pilots suffering from Somatogravic illusion during high energy go arounds - which is impossible to demonstrate in present simulators.
See
https://mak-iac.org/upload/iblock/45...vq-bbn_eng.pdf page 219.
&
https://mak-iac.org/upload/iblock/3d...a6-fdn_eng.pdf page 166.
"2.4. On the possible impact of somatogravic illusions.
Somatogravic illusions have been noted repeatedly as a contributing factor during investigations of aviation accidents and incidents which involved go-arounds."