Will Brasso work the same?
Nope. Brasso is largely an abrasive polish and will remove bluing.
Flitz is essentially a chemical polish and it doesn't remove bluing (or at least not when I tested it on the part of a blued barrel covered by the stock). I rubbed for a long while too, before I used it on a visible part of a gun!
I suppose somebody will now post contradicting me, but if you were going to damage bluing with Flitz, be prepared to really work at it!
John