How long did you let him float? Were the water temps the same? How fast did you mix the water? Is he acting funny?
I am going to assume yes you shocked him. By moving him you most likely shocked or atleast startled him. The betta I have now hid for two days, my first betta explored right away. Two different fish and two different tanks. And two completely different set ups. (I have a two year old and for two days we had to teach him how to "look at fish" so I am sure I stressed him out and my first betta didn't have to deal with any children just me.)
I am sure your fish will be fine as long as you did everything right and he doesn't have any medical issues.