I very nearly posted about this last night as I was thinking there's a chance it actually benefits us...
We are a defensive side, fifth best in defence over the past 3 seasons, but last for attack (by a lot) and 14th overall for total wins.
We pretty much lose if we have to chase points, and I think a major component of that was how the previous penalty meta interacted with our less than creative attack. In the past 3 seasons teams have not been afraid of us attacking in their 20 zone and so they were always more than willing to give away tonnes of penalties there whenever they had a >2pt lead (so that it wouldn't make sense for us to go for the kick). It is understood that all teams were intentionally giving away penalties in this way to cause that brief stoppage of play (hence this change), but I think it affected us more than it affected other teams because of our impotent attack. Since we are the least creative side, any stop/starts throw our immediate attacking plans out the window, forces us to think on the spot and we burn a few tackles before we figure out how we should be attacking (assuming that it is figured out before Tolman gets it on the fourth...). Since our attack is also easier to prepare against, the stoppage of play afforded our opponents more than enough time to get set. In terms of game momentum, I also think for this reason that we got less mileage out of our penalty counts, since we would rack up a heap of these ineffective penalties that either leveled the count, or gave us a surplus, which would then bite us later when the penalty momentum favours the other side again.
So tl;dr I actually have some, albeit small, hope that our attack in the 20m zone will benefit from this 6-again rule more than other teams, since previously teams got way more benefit from stop/starting our attack, than we got stop/starting theirs.