The only entries that will flow from General Ledger to Bank Reconciliation are Transaction Journal Entries

We would like this feature very much. We also use the Recurring Journal entries and want them posted to the Bank Rec.

I once set up a button script to help create the BR entries while the data was being entered in journal entries (get the GL account, look up the bank code in GL_Bank...), and presume the same concept could be applied to recurring entries.  I've also done future dated transactions imported into transaction journal entries.

Cool idea.   As long as people remember to hit the button anyway.

Indeed.  An automated nightly export / import to BR is also possible... but it seems to me our customer couldn't always wait until the next day.

Of course, manual BR entries are the usual way to deal with this.  Only with high volumes does something extra become worth it.