Not wrong, but we play with the flanking variant rules. Gaining advantage is essentially free; reckless is only useful in the random cases where a character isn't flanking (or attacking a prone enemy, faerie fire, etc). It seriously devalues what is one of barb's best abilities, but water under the bridge at this point.
I'm coming to that realization; 5/5 would be better than 6/4. I might request this change.