It's easy to say it was a error of judgement when the team you're up against is arguably the best in Europe and has far better players.
Rose was wanting to transition play from the back which his team wasn't good enough to do against Bayern's high press who subsequently cut off the passing lanes and were suffocating Gladbach. Which is not a surprise because Bayern have better players. So he made a systematic change in the second half where he realised his team wasn't gonna break the Bayern press so he deployed his forwards in the half spaces which disrupted the Bayern press.
It's easy to say it was a error in hindsight but him asking his team to play out from the back was normal. And every up and coming coach needs to face difficulties like that and find solutions which is what shapes them in the long run.
It was an error of judgement, a mistake, hence the reason he changed it.
That points to good management that he changed it with enough time to get something out of the game, something that Ole didn't do at all against Arsenal, or the latest debacle!
I wouldn't have thought Rose would have gone into that game thinking 'Bayern have better players than me' otherwise I would question his mentality.
The simple fact of that game is Munich were the better team due to poor tactical setup, they were then made to look ordinary by a tactical tweak,
Football is a game of 11 v 11. Games can be won by tactics and a bit of fortune (as this game we are discussing highlights), actually having the 'better' players doesn't always translate to winning all the time, so I get what you are saying but history has shown time and time again a team can become the greater sum of its parts by resolute tactical nous, work ethic and a bit of luck. But I digress.
In short, it was both poor management and good management in one game!!