However, I stuggle with understanding the benefits of an un-balanced 2nd stage. If the IP creeps, the un-balanced 2nd should freeflow sooner (if the balancing works like on a 1st stage). The balanced 2nd may allow the low pressure hose to blow first (if the balancing works like on a 1st stage).
Maybe the notion of preferring unbalanced 2nd stages came from the unbalanced design needing a higher spring pressure to prevent freeflow in the high-limit IP case. The inherently more conservative spring pressure would make the un-balanced 2nd less sensitive. But that can be rectified in a balanced 2nd stage by jacking the spring pressure up, as suggested above.
The basic difference between the barrel poppet balanced (G250) and unbalanced is that in the balanced 2nds, there is a small hole in the seat which allows air to travel through the poppet to a chamber, where it pushes back against the end of the poppet, increasing force holding the seat closed. This means that instead of a heavy spring which entirely opposes the air pressure trying to push the seat off the orifice and thus open the valve, you can use a light spring, which works in conjunction with the air pressure in the balance chamber to oppose the IP. Theoretically, both balanced and unbalanced barrel poppet regs can be set to identical cracking effort, but when the reg opens, the IP drops, meaning that the pressure in the balance chamber drops, and therefore the pressure against the poppet drops. So, while the cracking effort is the same, the force needed to keep the valve open is lower. This is what (theoretically) makes balanced 2nd stages have better breathing characteristics, along with the obvious advantage with less-than-perfectly stable IP. As awap said, in the real world, there is a pretty small difference between otherwise identical balanced and unbalanced 2nd stages.
The problem in your situation is that you're not comparing identical 2nd stages. The R190 (0r 380, or 295, etc) is not a barrel poppet design and IME does not have the smoother breathing characteristics of the barrel poppet regs. I have no idea why this is, except the only unbalanced barrel poppet reg I've ever used is the old metal case 109 (same as awap) and those are exceptionally smooth breathers. With one of those you could also get adjustable and unbalanced, which means you can dial out a slight freeflow; a nice feature for an octo that spends most of it's life outside of your mouth.
But the big advantage IMO of the balanced design is the lower rate of wear on the seat. Yes, you can store the R190 with the purge slightly depressed, but I still find that the balanced seat just lasts longer and is less prone to flowing.
Maybe the down and dirty bottom line is that it doesn't really matter; a decent quality unbalanced 2nd stage will work just fine as an alternate as will a G250. I would not go out of my way too much to avoid either choice.
Unlike awap, for whom spending the princely sum of $3 on a balanced LP seat is an unbearable expense, (he even flips his 1 penny seats to make them have an effective price of .5 cents) I am recklessly willing to ruin my financial future and throw away my hard earned money on actual SP seats once every 2-3 years.
So, most of my 109s have been converted to balanced.