I hadn't intended to offend you. What you do now is obviously up to you, we can only offer opinions based on what we know and what we think.
It might depend on who's around at the time to administer the estate, and also how capable they are.Having studied where our assets would end up if we are intestate we find it matches precisely what we want to happen.
We've had to deal with three intestacies and it's horrible, it's emotionally draining to have to do after a bereavement, it costs money, can cause arguments over the most trivial thing because emotions are high. If you write down what you want, it at least makes things easier for your family and can be especially relevant when if comes to the smaller things, pictures, jewellery and so on. The house is easy to deal with, and means using a solicitor chosen by the administrators, it's dealing with what's inside it that can bring tears.
There is a little information on the BBC - Watchdog - Legal FAQs - "joint tenants" and "tenants in common" but I don't think it adds to what you already know. Transferring ownership of the property to the surviving partner will involve using a solicitor.