Yes, looking for the Death can be very useful, particularly up here in Scotland.
On Scotland's People, you can search by the First Name and Last Name as usual - but the Search Parameters can also include the Mother's Surname; and if the Deceased is a Married Female, her Maiden Surname, all in the one Search.
In fact the Maiden Surname and the (Married) Surname can be inter-changed, so that the Maiden/Birth Surname can be the principal one in the Search Parameters.
Very useful at times.
Also as you have indicated, the Informant's Name can be very informative.