Joint tenants vs. tenants-in-common
The short answer is yes, it makes a difference.
When a property is held in joint tenancy, I call it as “the last man standing”. Upon death of one joint tenant, the entire property belongs to the surviving joint tenant(s). The survivor of the joint tenant(s) is the last owner(s) can use the will to decide who to give the property in the will.
Tenants-in-common is a different story. In this arrangement, each person owns a half, or third, or some other portion that belongs only to them. They can leave their share to someone in their Will or sell it (never mind the logistical problems of trying to sell one third of a house).
Between husband and wife, a title is almost held as joint tenants, probate is not required, this is not always the case in second marriages, depending on the situation.