The Democratic map was actually quite fair with only a slight bias in some elections. The Republican map shows major bias.
In the 2002 US House election, Republicans in North Carolina won 7 seats with 53.9% of the vote while Democrats won 6 seats with 46.2% of the vote. Based on the popular vote, Republicans should have held 7 seats with Democrats holding 6 seats. This is a difference of zero seats.
In the 2004 US House election, Republicans in North Carolina won 7 seats with 53.9% of the vote while Democrats won 6 seats with 46.2% of the vote. Based on the popular vote, Republicans should have held 7 seats with Democrats holding 6 seats. This is a difference of zero seats.
In the 2006 US House election, Republicans in North Carolina won 6 seats with 46.2% of the vote while Democrats won 7 seats with 53.9% of the vote. Based on the popular vote, Republicans should have held 6 seats with Democrats holding 7 seats. This is a difference of zero seats.
In the 2008 US House election, Republicans in North Carolina won 5 seats with 45.11% of the vote while Democrats won 8 seats with 54.4% of the vote. Based on the popular vote, Republicans should have held 6 seats with Democrats holding 7 seats. This is a difference of one seat.
In the 2010 Republican takeover of the US House, Republicans in North Carolina won 6 seats with 54.1% of the vote while Democrats won 7 seats with 45.2% of the vote. Based on the popular vote, Republicans should have held 7 seats with the Democrats holding 6 seats. This is a difference on one seat.
In the 2012 US House election after redistricting, Republicans in North Carolina won 9 seats with only 48.75% of the vote while the Democrats won 4 seats with 50.6% of the votes. Based on popular vote, Republicans should have won 6 seats and Democrats should have won 7 seats. This is a difference of 3 seats.