This is a good and interesting question, but just one word of caution here. Wayfinding is a type of cognitive behaviour. Space syntax is a statistical analysis of built form and space. Research may show relationships as you put it, but in order to be meaningful you need also to show causality. A weakness of much research in this area is that it fails to do that adequately. So you also need some behavioural theory that you are testing against the space syntax stats.
Space syntax could be used to predict behavior and/or perception related to the phenomena under questions.
You need first however to establish the link between one or maybe more space syntax measures (such as integration) and a measurable phenomenon, for example, movement path. This can be done via empirical work or you could chose to relay on the literature.
Most of the work done on space syntax is dealing with behavior though. an example of where space syntax was used to investigate perception can be found in these links:
Once the association is established, space syntax might be used to assess the potential of different design proposals in achieving the desired level of the phenomenon that the research is concern off.
A crucial point worth-noting here is whether the relationship found is merely an association or its a type of causality as Prof. Bryan noted in his answer.