Of all the taskwarrior reports that might be translated to the android app, there are 3 that I might consider to be both "reports" and "report-styles"; list, long and minimal. ("ls" could be in there, or not) which could be thought of as report styles maximal, normal and minimal, which could (and should) be applicable to other reports.
Several of the reports are not typical lists, like calendar, count, history and stats. Another group of reports will generate a sub-set, (or super-set) like active, all, blocking, overdue, recurring and waiting. Newest & oldest are primarily sort-directives, and projects and tags are sort of hybrids; a list with some summary.
That means that any one of the three styles could be used in listing active, all, blocking, overdue, projects, tags, recurring and waiting, and this feature-request if for a user-setting that will allow the user to indicate which of the three will be used by default. This way, any of these reports could be invoked with a single keystroke, and will display in the users preferred style.
(of course, I'm getting ahead of myself, and no "styles" exist yet, so I'm just playing "what if")