I had after rust problems w/ Laurel Mtn soln when I first started using it,,and that was for rust bluing.
It contains no acid and uses ferric chloride as the rusting agent. Still slightly on the acidic side of the Ph
scale.
Just boiling the barrels in water again really does little. Any acid or etching agent still there will only combine with the water and form a soln of it. Now your part is soaking in a boiling hot though extremely weak acidic soln.
Warm/hot acidic solutions, no matter how weak,, are not what you want to place metal parts in and expect no further rusting.
It's not going to clear itself of the problem.
It needs to be neutralized and/or flushed from the metal.
With rust blue, I've settled on a fairly simple method of spraying down the completed barrels with common Lysol All Purpose Cleaner.,,currently using lemon scent! though it seems to do no better job than the plain stuff.
(I also use it for the initial cleaner to scub and clean the parts prior to rust blueing)
The parts are at room temp. I liberally spray them with the stuff and them scrubb them with a small wooden backed laundry brush, tooth brush and one of the M16 cleaning brushes.
They cover about all the surfaces corners and knooks on a set of tubes.
Then flush them with room temp water.
Repeat the process a couple of times and dry them off.
I do this all in and over the laundry tubs in the basement and have a simple flexible hose on the water faucet that helps with the flush process.
Canvas shot bags draped over the tub edges protect the bbls when lying accross them and a square of plywood in the bottom protects the bbl when standing on end.
On SxS tubes I then heat them with a torch. That's to dry and drive any water trapped betw the ribs out through a pre drilled weep hole, sight bead hole, or a betw the rib at the muzzle hole I'll drill.
I don't bother on small parts or single bbls.
The water and spray cleaner flushed off the first time carries an amazing amount of (blue in this case) coloring and I suspect rusting soln contaminants.
Once dry, I oil with WD-40 first to drive any other moisture from the steel. Then the next day re-oil with Rem-Oil, G-96, etc.
On the few browning jobs I've done over the years I coated with linseed oil just because.
This also worked nicely on damascus finish work and actually enhanced the look a little IMHO. Even the rust bluing looks a bit more burnished when done this way. Maybe it's just me..
No further after rust problems. But again this was a fix for a problem I had with Laurel Mtn soln.
I've not used the acid based soln spoken of here and can't say wether my technique would also work with it.