There are two main reasons for which I would personally like to see the "distinct" stats feature re-implemented. The one I mentioned above was that I liked to use it as a "checksum". This is probably the more practical of reasons. I liked to be able to tell at a glance, after a day of caching, if I had accidentally hit the submit button twice on a cache (easy for me to do with the mobile device). As it is now, I don't see any discrepancy until I have loaded a PQ into GSAK and generated my stats there.
For this reason, having "distinct" located SOMEWHERE in our profile (not necessarily our public profile) would be a handy reference.
The second reason may be more controversial. I realize that there are many cachers (at least, in our area) that will attend events that have temporary caches placed (caches which are not published on geocaching.com, nor would they even be considered for publication). The event coordinators allow - even encourage - logging those temporary caches by re-submitting an "attended" log for the event. This skews the statistics page in several ways. I guess the controversy here is that I like to be able to "brag" that I have actually made a specific effort for each of the officially published caches that I've logged. For this purpose, I will continue to use the findstatgen macro in GSAK (I have other issues with the geocaching stats page anyway!). Maybe part of me just likes to know if other users are "purists" like me, when I see how quickly their cache counts are racking up!
For that reason, having a "checkbox" option on the stats page to allow a user to hide the distinct cache count from the publicly-viewable profile may accomplish its purpose (similar to the way we now have the option to hide the stats page completely).