If the property is jointly owned home rights are irrelevant. The other risks remain.
Note that what would happen to the property if either of you die depends on how it is owned. If you are joint tenants the property will become his automatically if you die, regardless of anything in your will. Equally, if he dies the property would become yours regardless of anything in his will.
If he dies after the decree absolute his will is dealt with as if you had died on the day of the decree absolute. This means you won't get anything and may not be able to make an Inheritance Act claim. You could end up a lot worse off.