The Dems gerrymander just as much as the Rs do.
You're using a tiny fraction of history to discuss this, and even within that tiny fraction your numbers are incorrect as the the dems held the majority from 2007 to 2011 and only lost it in the backlash from the health care debacle.
Also the national popular vote is totally irrelevant to the house membership. It's not set up that way.
And also, the majority of this country votes democrat in every election since 2000, but because of gerrymandering the house retains a Republican majority. If the house matched the breakdown of national popular votes for house reps, it would be significantly Democrat.