We would not recommend that you use a standard watch winder for a Hybrid / Kinetic watch.  A key difference between a Hybrid / Kinetic watch and every other automatic, movement (or kinetic energy) powered watch is that they store the power generated by the movement in a battery rather than a mainspring. This means they often will not charge on a conventional winder as the movement is too slow to generate a high enough voltage to charge the cell. 

Around 90% of watch winders are not suitable for Hybrid / Kinetic watches. There is a specific ‘winder’ or energy supplier for Seiko watches, but it is aimed at jewellers rather than end users and is quite expensive. Oddly this is supposed to work https://www.youtube.com/watch?v=NNYTTqftcvk