I don't see a pic of the connector opening. That will be key in whether or not the Seidio dock will work.
You have to be able to get the usb connector through the case and into the phone. If the case is too thick then it isn't likely that you will be to seat the connector.
I'm able to do that with the UAG case. If you can find photos to compare the Samsung case to the UAG case you'll be able to see if it will work.
Edit: Based on what I can see of the Samsung case I would say it isn't likely to work with the Seidio dock.
The UAG case does work.