I agree with you 110%, retinoid.
Why on Earth would anyone want to look toward the 6th for....well, anything except a small animal? It doesn't signify anything that most people really like or want; things like sickness, ill health, toil, labor, slavery, indentured service, and...of course, small animals like pets
which is it's only saving grace as a house.
Also, the house itself is disjoint from the Ascendant, offering nothing to the native of good report, generally.
The 10th, on the other hand, is the zenith, the highest point in the chart and it towers above the Ascendant and aspects it as well. The Sun, for one, is at it's highest and brightest here, for heavens sake. And, the 11th house is only more fortunate in the fact that anything here can only ascend to the 10th which is why it is the house of assistance and hopes and wishes. Whereas, anything in the 6th can only fall. Manilius describes this.
Yes, I believe I would much rather guide someone to their 10th rather than the 6th...we all have enough of that already.