I am not in UK, so I am looking on from afar.
To my mind a soft Brexit is something that will not be countenanced. It would mean Free Movement and contributions to the EU. Neither of which are being countenanced (apart from the mandatory payments that are owed pre exit from the EU).
So now, we have soft Brexit - no. Why? because Free Movement is a prerequisite.
So what's left? Hard Brexit, on your own and make your own deals. I do realise that deals (trade) will have to be made with the EU. Both UK and the EU know this, but it will not be easy. Let's face it, the EU does not want the signal to go up to the other members that is OK to leave, you will be fine, we will do a great deal with you. Thanks.
I see a soft Brexit myself. Just because it is the handiest way around the mess. If that means free movement, so be it.
But what many forget is that Free Movement involves a country being able to deport those (from EU) who cannot support themselves after a certain period, or some such rule. Never invoked in UK, and it could be.
Immigration from outside the EU was always subject to visas and so on, so I really think immigration is a total red herring. So that's why I think it will be soft as a wheel of Brie.