Hosted views allow creation of views from hosted feature layers, with the view set using the Update View button. This takes you through a few steps to set filters, fields and so on. When managing lots of different views, it is easy to forget exactly what filters are set on each view. It would be useful to have this information available at a quick glance, rather than having to click Update View and go through the steps to see what is set there. Even if this was presented as an sql clause or similar in the Settings tab (e.g. as an expandable section under the Update View button) this would save a reasonable amount of time and unnecessary clicks.
I would also propose that this is only visible to users with permission to edit the view, rather than just anyone the view is shared with.