I won't answer for Shaun, but since I am pursuing a D.Min (though I decided not to matriculate this year, I probably will next), I will answer the question in general from my perspective. I am not sure that a D.Min. is a
means to ministry as you say, since one has to be actively involved in ministry to be admitted to most D.Min. programs. Rather, I view the program as an opportunity to further develop pastoral skills (like preaching or pastoral counseling) that are highly useful in ministry. A well-structured D.Min. program taught by a good faculty can benefit a pastor, and subsequently a church, more than most people realize, IMO.
Anyone pursuing the degree for prestige is silly, I think, since it is way to expensive and time-consuming an endeavor to pursue for the sake of what will surely be a house of cards (i.e., the respect it will bring is without any real substance). And, if one stays in his current ministry after graduation, it does not mean a higher salary (since the church probably helped pay for the tuition). As many say, a doctorate for a preacher is a lot like a curl in a pig's tail; it might tickle the hams but it doesn't make more bacon.
However, it is not a useless endeavor if one pursues it in order to better or more effectively serve the Lord Jesus Christ.