Related question: How do folks who count the number of courses they've played treat having played an original course on a site and then some time later play a "new course" built on the same property? I have to admit that I'm not consistent in that regard.
For instance, today in Lafayette Hills outside of Philadelphia, PA there is a club called the "ACE Club" which was designed over land that was formerly two courses in prior years. In 1926, Herb Jewson designed a course there for "Roxborough Country Club", and years later (1982) Rees Jones built a course called "Eagle Lodge" on the same property. I played Eagle Lodge, and I've also played the ACE club, so I list them as two separate courses as the entire property was plowed over and re-shaped to create the new course. Similarly, in Montgomeryville, PA a few local pros designed an built a public course called Montgomeryville Golf Course in 1962 and years later someone bought the property, created a new routing with a real estate component and Ron Prichard designed a new course called Pinecrest. Having played them both I count them as two, as well, with the former listed as NLE. In the latter case, 2 or 3 holes maintain a similar routing, yet were completely rebuilt.
I'm comfortable with that, by and large, yet when I play a course for the first time I'll go back and perhaps out of an homage or at least an interest in history I'll credit any architect who worked on the property in prior years, even if that work is now obliterated. For instance, when I play Pinehurst #4 my listing would include, Ross, Jones, Fazio, et.al. even if what is there today is mostly a Hanse re-do. I think I'm comfortable with that approach, as well, but am interested to hear what others do.
I have to admit that it helps justify things in my mind when the course name changes, and the new work is done in conjunction with that change and if I've played both it makes more sense to list them as two courses. In the case of Pinehurst #4 conversely, if I have played it back when Fazio did it I couldn't see it as a "new course" when Gil re-did it, and I'd simply add the latter to the list of architects who worked the property on a single golf course, particularly if large elements of the routing and/or greensites were intact.