It's not in the EU's interest to have a free trade agreement with China; the US doesn't have one either.

China pursues a mercantilist strategy in many respects. Take steel, for example: unrestricted trade with China would wreak havoc on Germany's steel industry, with potential knock-on effects further along the value chain - and there's no guarantee that China would keep steel prices low after predatory pricing.

Are you saying "any trade deal is better than no trade deal?". Just because the EU doesn't have one with China doesn't mean Switzerland's deal is better.... than a deal that doesn't exist.

What was the combined value of their trade into China in 2015?