Is this answer still valid? I have the same issue. It seems a basic requirement, especially when records are date-ordered.
Alternatively, is there a way to pop-up a list of selected features identified by key field (date) rather than just using the arrow to scroll through the list?
Unfortunately, there is no way to control ordering or the result. As the layers in ArcGIS Online reference web services, we're dependent on the speed of the response of a given server and display the first response first (thus, there is no ordering of results across multiple layers). There also isn't a way to specify a sort order for a given layer. There are no current plans to change this behavior.
In your second question, do you want all the results to display in the popup at once and then you could pick one to examine it further, like ArcMap Identify? This is not possible either.
Thanks for your response Mike. On the first question: it is a definite problem that not only can one not specify a sort order for a given layer, but the default of the features sorting themselves according to default table order (ID) also does not occur. One has no control over the ordering of multiple coincident features, and when these are date-ordered the user sees them as randomly sorted instead of chronological. Just saying.