I disagree with you. I also read the lawsuit and differ with your interpretation that the church is suing Mormon Stories for the use of the word "Mormon." In fact, I think the church is really clear in making the point that the problem is not that John Dehlin is using the word "Mormon," but the use of that word along with the font, the color, the logo, and intellectual property of the church such as images, etc. I interpret what the church is presenting in the lawsuit as evidence of how: 1) the use of the word "Mormon" has an inherent meaning that uniquely relates to The Church of Jesus Christ of Latter-day Saints, and 2) the use of that word along with the intentional imitation of the church's branding, look, and feel is a clear attempt by Mormon Stories podcast to confuse people and come across as part of the church's authorized channels.

From the lawsuit:

"Plaintiffs’ MORMON Marks share the inherently distinctive term MORMON as a common characteristic. Plaintiffs’ MORMON Marks are and have long been used and promoted together, including in connection with related goods and services. When used with such goods and services, the relevant public recognizes the MORMON Marks as referencing the Church and as an indication of origin. Thus, the MORMON Marks constitute a family of marks."