This request has been added to the tracker:
Issue 1858 – Autoreconnect a disconnected session when saving edited file
You can vote for it there.

Is this option implemented by now?

Yes, please add this feature.

You can solve your problem by turning on keep-alive option at
https://winscp.net/eng/docs/ui_login_connection#keepalives

And/or shortening you reconnect timeout at
https://winscp.net/eng/docs/ui_pref_resume

Thanks for your suggestion.
Will see if more people ask for this.

We have an FTP server at work that loves to disconnect about every minute or so. When this happens, WinSCP will auto-reconnect in 30 seconds. However, if I save edits to a file before it re-connects, I get this:
<invalid hyperlink removed by admin>

This makes it so about half of the time a file is saved I have to manually click OK, then save the file again after it reconnects.

Can there be an option to toggle called 'Auto-reconnect on save' where if the user saves a file and the connection has been lost, it will automatically reconnect then save the file afterwards? Most of the time it doesn't ask for the FTP password, it just connects after clicking OK, so it doesn't look like there would be a security issue.