I have done a lot of work with this with our HS players and have followed the wide variety of what colleges teach.
No, Hicks' move is not a crow hop. It is a step-behind. The basic debate on the topic is usually crow hop vs. step-behind. The following video is a pretty good illustration of the comparison..
https://www.youtube.com/watch?v=vMU7ds_WpiM
Both have advantages and disadvantages. There are a few keys for me. The crow hop allows an OF to fully utilize the momentum he has built up coming in on the ball. No, a crow hop should not involve stutter stepping twice although on occasion, where the player fields the moving ball may dictate a small extra shuffle. The step-behind offers more consistent efficiency of footwork but, for many, there is a slight slowing of momentum. It really comes down to which the individual player is most comfortable with. Keys are that the player fields the ball in as optimal a position as possible, does not lift the body vertically too much (in the case of crow hop), is as quick and efficient as possible and finished through with momentum to the target.
The old school traditional crow hop included an upward hop and that move has been largely dispelled. The currently taught crow hop maintains horizontal momentum (see video attached).