Does a lightning to 30-pin adapter fit a dock for an iPod Classic

I have an old analog stereo system. It includes a dock for an iPod(or iPhone) which connects to the receiver. I have an old iPod Classic placed in the dock. Because the newer iPhones(iPhone 7) have a lightning connector, they don't fit into the cradle. If I use the apple lightning to 30-pin adapter(MD823ZM/A), will the plug in the cradle accept the 30-pin adapter. or do I need to have a different arrangement if I want use a newer iPhone in the dock? The dock provides particularly good sound, so I prefer to keep it instead of setting up some other alternative.

Any help would be much appreciated