As mobile computing becomes more popular, we're starting to see questions about use of the Blogger dashboard on mobile computers (iPhone / iPod, PDA, smart phone), in Blogger Help Forum: Something Is Broken. Most recently, we're seeing people trying to use Stats, and the "Don't track my own pageviews" option, with Blogger on mobile computers.
Problems with Stats and the "Don't track ..." option are not unknown, in the past. We've helped many blog owners with this setting, which is sensitive to cookie and script filtering in general - and to "third party cookies" in particular. "Third party cookies" may be filtered in any of several places, any which will interfere with "Don't track ...".
The "Don't track ..." option, when seen as a problem with "full size" computers (desktop, laptop / notebook), may involve any of various "layered security" settings. In general "full size" computers use a somewhat standard software infrastructure. While any of several operating systems (Apple / Macintosh, Chrome, Linux, Microsoft Windows), and various browsers (Chrome, Firefox, Internet Explorer, Opera, Safari) make use of Blogger an occasional challenge on "full size" computers, there is some common features between the various operating systems and browsers.
With the various "operating systems" and browsers on mobile computers, we're seeing more discrepancies in features offered. In particular, not all "mobile computers" have explicit settings to allow / disallow "third party cookies" - or even cookies and scripts, in general. If these settings are not present, it's likely that these computers do not support such details as "third party cookies".
Without the availability of "third party cookies", Blogger can't support the "Don't track ..." option. Here, I'll note that this option is specific to each individual browser, on each individual computer. One must set the option - and browse the specific Blogger blog - using the same browser, for the option to work. This is not an option that can be set on a per user basis, and apply to all browsers used by a specific user.