I would think of these more as states than types, clearly it is possible to move between all of them depending on the context.

Also I think there are 6 - I added (based on personal experience) 2 more:

Fight
Flight
Fawn
Freeze

Feign (death) - pretend to be a corpse, this may be a final tactic to having been seen/caught (eg after freezing, flighting, flying etc haven't worked) - you are trying to feign not being a target or a threat by 'going limp' (only works if the hunter doesn't like to scavenge or play with their food) - I have done this loads

Fantasize - retreat inwards to a safe imaginary place - also a common escape route