Analog stick works in menus,
characters face direction of analog stick in game; however,
no forward movement excluding dash moves.
This issue seems to have affected several users,
as detailed on the Steam discussion forums:
https://steamcommunity.com/app/239070/discussions/0/1729837292627322826/Tried several methods to fix the issue with PS4 DS4 controller and Xbox One Wireless controller.
Played around with control settings too (changed hold button configuratons to other unused buttons, changed twin sticks / 8 direction switches)