From Southern Chinese styles, many linked to animal forms, we can classify some kata names linked to these animal styles.
Crane : sanchin, sanseiru, niseishi, happoren, nepai .
Tiger : sanchin, sanseiru, peichurin(suparinpei)
Dragon : sanchin, seisan, peichurin, sepai
Dog : sanchin sanseiru
Monk fist : sanchin, seisan, jutte, sepai, useishi(gojushiho), peichurin
Lion: sanchin, seisan
Know that crane style was build from monk fist and blended with tiger style. I gues these styles have played the most imported role in Karate from around 1825 - 1930.(The building period of the current known most popular styles)
The execution for a simular named kata can be very different. E.g. sanseru in Goju or Uechi ryu is not comparable. I could relate to pointing to these animal names as refernce to their origin but I think a more detailed explenation would be impossible as some of the kata's origin are unknown (e.g. saifa) and there can not be found a style still practising a simular named kata in some cases.(e.g.kururunfa, seiyunchin).
So, in reference of an animal movement does not do it for me without identifying an authentic art executing a form with a simular name. Once that established you could analyse the movements for simularities. That's what I would like to see when kata are identified with animal named styles.