So it works differently if you start with New and do a Receive Payment than if you start with the Invoice and Receive Payment?  That's pretty strange.  I'll have to give that a try.

However, the other day I had a couple dozen of these to take care of.  I got Save & Close for the first dozen or so, then Save & New, then Save & Close again, then a string of nothing but Save & New.  All for invoices that I was Receiving Payment on, all on the same browser, all done one after another.  It ended up being about the same result overall as flipping a coin, so apparently random.