Also while I can see why the House is considered a lower post to some, it is suppose to be an equal branch to the Senate, not beneath it.
I think the point is more that the lower chamber is the people's House, and its members are supposed to be drawn from the ranks of the commons—not the established elites.
In some ways the stepping stone process mentioned in the OP has impacted the Senate as well, at least in the regions where favorable winds prevail and thus we have had Senates in the last year or so that were nearly completely composed of relatively new people with maybe one or two exceptions in a given chamber where this the case overall.