Kinda. In the side-bar, the associated contact information will be displayed, so you will see Toyota - Bob, but in the message, you will see what the sender specified.
A change has been proposed by a user here:
I was sure I had also proposed this as a feature request some years back, but I can’t find the post.
Anyhow, I changed your question here to a feature request, so it will be considered for future development.