Barca who? These are classic Bayern colors
Since 1906, the "classic" Bayern colours are red and white; before that they had been white and blue. Those colours are what most people and the club itself associate with FC Bayern, and this is why Bayern fans are called "die Roten" (the reds) whereas 1860 fans are called "die Blauen" (the blues).
The red and blue stripes were used as first kit colours during three spells: 1908-12, 1968/69 and 1995-1997. Additionally they were used as (one of three different) second shirt colours in 1969-72. Means they are part of Bayern's history, but those shirts were the odd ones out.
So I don't think the stripe combination that was used during three short spells in 114 years can be called "classic"... That Bayern reintroduce that shirt now after 17 years, just when they have a blaugrana coach and have been considered as taking over from Barça as the best team in the world does seems a bit ironic.
The Bavarian press had headlines like "unusual colours" btw.
That said, I don't mind it, those shades don't look like the Barça ones, so it doesn't remind me too much of the blaugrana shirt.