In our workflow:
Survey123 only allows to refresh the inbox list manually, that is by tapping the refresh button or using a push down gesture. This could be easily resolved if the inbox screen is automatically refreshed when the user taps inbox.
Thanks for the above post and suggestion to create an enhancement to the Inbox refresh. We currently have the Inbox refresh implemented by a manual selection of the Refresh button due to supporting offline workflows and how the list view and map view changes depending on the spatial extent queried.
That being said, it could be possible to have an option to set in Connect when enabling the Inbox to have it manual or automatically refreshed. To see if this enhancement has any merit and if there are any other Survey123 users who think it is a good idea too, can I suggest you create it as an idea on the ArcGIS Ideas page.
Once it gets some votes and popularity, we can look at how this might work in the current Survey123 app.
Yes, you could modify the source code of Survey123 using the latest template and AppStudio to automatically refresh the Inbox every time it is opened or the the page returned to, instead of having to manually select the Refresh button.