Soft Brexit doesn't mean simply retaining certain connections. e.g free trade. It means being confronted by an EU determined to cut off their own nose to spite their face by insisting on the very things that persuaded many to vote leave, as preconditions for retaining tariff free trade, and we being so incredibly foolish and desperate to retain them that our negotiators capitulate at the negotiation table, thus leaving only in name, not in reality, and achieving a worse situation that we started with.
The ball is in the EU court. Either they have the ability to see dropping unconnected preconditions still allows a mutually advantageous trade agreement or they force a split without such an agreement. Soft Brexit is no Brexit, and not on the negotiation table.